import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from scipy import stats
from sklearn.preprocessing import Normalizer
from sklearn.model_selection import train_test_split
import random
import plotly.graph_objects as go
from plotly.subplots import make_subplots
import math
random.seed(25)
data= pd.read_csv("energydata_complete.csv")
data.isnull().any()
date False Appliances False lights False T1 False RH_1 False T2 False RH_2 False T3 False RH_3 False T4 False RH_4 False T5 False RH_5 False T6 False RH_6 False T7 False RH_7 False T8 False RH_8 False T9 False RH_9 False T_out False Press_mm_hg False RH_out False Windspeed False Visibility False Tdewpoint False rv1 False rv2 False dtype: bool
data
| date | Appliances | lights | T1 | RH_1 | T2 | RH_2 | T3 | RH_3 | T4 | ... | T9 | RH_9 | T_out | Press_mm_hg | RH_out | Windspeed | Visibility | Tdewpoint | rv1 | rv2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 2016-01-11 17:00:00 | 60 | 30 | 19.890000 | 47.596667 | 19.200000 | 44.790000 | 19.790000 | 44.730000 | 19.000000 | ... | 17.033333 | 45.530000 | 6.600000 | 733.500000 | 92.000000 | 7.000000 | 63.000000 | 5.300000 | 13.275433 | 13.275433 |
| 1 | 2016-01-11 17:10:00 | 60 | 30 | 19.890000 | 46.693333 | 19.200000 | 44.722500 | 19.790000 | 44.790000 | 19.000000 | ... | 17.066667 | 45.560000 | 6.483333 | 733.600000 | 92.000000 | 6.666667 | 59.166667 | 5.200000 | 18.606195 | 18.606195 |
| 2 | 2016-01-11 17:20:00 | 50 | 30 | 19.890000 | 46.300000 | 19.200000 | 44.626667 | 19.790000 | 44.933333 | 18.926667 | ... | 17.000000 | 45.500000 | 6.366667 | 733.700000 | 92.000000 | 6.333333 | 55.333333 | 5.100000 | 28.642668 | 28.642668 |
| 3 | 2016-01-11 17:30:00 | 50 | 40 | 19.890000 | 46.066667 | 19.200000 | 44.590000 | 19.790000 | 45.000000 | 18.890000 | ... | 17.000000 | 45.400000 | 6.250000 | 733.800000 | 92.000000 | 6.000000 | 51.500000 | 5.000000 | 45.410389 | 45.410389 |
| 4 | 2016-01-11 17:40:00 | 60 | 40 | 19.890000 | 46.333333 | 19.200000 | 44.530000 | 19.790000 | 45.000000 | 18.890000 | ... | 17.000000 | 45.400000 | 6.133333 | 733.900000 | 92.000000 | 5.666667 | 47.666667 | 4.900000 | 10.084097 | 10.084097 |
| 5 | 2016-01-11 17:50:00 | 50 | 40 | 19.890000 | 46.026667 | 19.200000 | 44.500000 | 19.790000 | 44.933333 | 18.890000 | ... | 17.000000 | 45.290000 | 6.016667 | 734.000000 | 92.000000 | 5.333333 | 43.833333 | 4.800000 | 44.919484 | 44.919484 |
| 6 | 2016-01-11 18:00:00 | 60 | 50 | 19.890000 | 45.766667 | 19.200000 | 44.500000 | 19.790000 | 44.900000 | 18.890000 | ... | 17.000000 | 45.290000 | 5.900000 | 734.100000 | 92.000000 | 5.000000 | 40.000000 | 4.700000 | 47.233763 | 47.233763 |
| 7 | 2016-01-11 18:10:00 | 60 | 50 | 19.856667 | 45.560000 | 19.200000 | 44.500000 | 19.730000 | 44.900000 | 18.890000 | ... | 17.000000 | 45.290000 | 5.916667 | 734.166667 | 91.833333 | 5.166667 | 40.000000 | 4.683333 | 33.039890 | 33.039890 |
| 8 | 2016-01-11 18:20:00 | 60 | 40 | 19.790000 | 45.597500 | 19.200000 | 44.433333 | 19.730000 | 44.790000 | 18.890000 | ... | 17.000000 | 45.290000 | 5.933333 | 734.233333 | 91.666667 | 5.333333 | 40.000000 | 4.666667 | 31.455702 | 31.455702 |
| 9 | 2016-01-11 18:30:00 | 70 | 40 | 19.856667 | 46.090000 | 19.230000 | 44.400000 | 19.790000 | 44.863333 | 18.890000 | ... | 17.000000 | 45.290000 | 5.950000 | 734.300000 | 91.500000 | 5.500000 | 40.000000 | 4.650000 | 3.089314 | 3.089314 |
| 10 | 2016-01-11 18:40:00 | 230 | 70 | 19.926667 | 45.863333 | 19.356667 | 44.400000 | 19.790000 | 44.900000 | 18.890000 | ... | 17.000000 | 45.290000 | 5.966667 | 734.366667 | 91.333333 | 5.666667 | 40.000000 | 4.633333 | 10.298729 | 10.298729 |
| 11 | 2016-01-11 18:50:00 | 580 | 60 | 20.066667 | 46.396667 | 19.426667 | 44.400000 | 19.790000 | 44.826667 | 19.000000 | ... | 16.890000 | 45.290000 | 5.983333 | 734.433333 | 91.166667 | 5.833333 | 40.000000 | 4.616667 | 8.827838 | 8.827838 |
| 12 | 2016-01-11 19:00:00 | 430 | 50 | 20.133333 | 48.000000 | 19.566667 | 44.400000 | 19.890000 | 44.900000 | 19.000000 | ... | 16.963333 | 45.290000 | 6.000000 | 734.500000 | 91.000000 | 6.000000 | 40.000000 | 4.600000 | 34.351142 | 34.351142 |
| 13 | 2016-01-11 19:10:00 | 250 | 40 | 20.260000 | 52.726667 | 19.730000 | 45.100000 | 19.890000 | 45.493333 | 19.000000 | ... | 16.890000 | 45.326667 | 6.000000 | 734.616667 | 90.500000 | 6.000000 | 40.000000 | 4.516667 | 19.205186 | 19.205186 |
| 14 | 2016-01-11 19:20:00 | 100 | 10 | 20.426667 | 55.893333 | 19.856667 | 45.833333 | 20.033333 | 47.526667 | 19.000000 | ... | 16.890000 | 45.345000 | 6.000000 | 734.733333 | 90.000000 | 6.000000 | 40.000000 | 4.433333 | 38.492071 | 38.492071 |
| 15 | 2016-01-11 19:30:00 | 100 | 10 | 20.566667 | 53.893333 | 20.033333 | 46.756667 | 20.100000 | 48.466667 | 19.000000 | ... | 16.890000 | 45.326667 | 6.000000 | 734.850000 | 89.500000 | 6.000000 | 40.000000 | 4.350000 | 24.884962 | 24.884962 |
| 16 | 2016-01-11 19:40:00 | 90 | 10 | 20.730000 | 52.660000 | 20.166667 | 47.223333 | 20.200000 | 48.530000 | 18.926667 | ... | 16.890000 | 45.290000 | 6.000000 | 734.966667 | 89.000000 | 6.000000 | 40.000000 | 4.266667 | 35.880925 | 35.880925 |
| 17 | 2016-01-11 19:50:00 | 70 | 30 | 20.856667 | 53.660000 | 20.200000 | 47.056667 | 20.200000 | 48.447500 | 18.890000 | ... | 16.890000 | 45.290000 | 6.000000 | 735.083333 | 88.500000 | 6.000000 | 40.000000 | 4.183333 | 49.595305 | 49.595305 |
| 18 | 2016-01-11 20:00:00 | 80 | 30 | 20.890000 | 51.193333 | 20.200000 | 46.330000 | 20.200000 | 48.193333 | 18.963333 | ... | 16.890000 | 45.200000 | 6.000000 | 735.200000 | 88.000000 | 6.000000 | 40.000000 | 4.100000 | 19.001759 | 19.001759 |
| 19 | 2016-01-11 20:10:00 | 140 | 40 | 20.890000 | 49.800000 | 20.200000 | 46.026667 | 20.166667 | 47.633333 | 19.033333 | ... | 16.890000 | 45.200000 | 6.000000 | 735.233333 | 87.833333 | 6.000000 | 40.000000 | 4.066667 | 38.872261 | 38.872261 |
| 20 | 2016-01-11 20:20:00 | 120 | 20 | 20.890000 | 48.433333 | 20.200000 | 45.722500 | 20.166667 | 47.300000 | 19.175000 | ... | 16.890000 | 45.126667 | 6.000000 | 735.266667 | 87.666667 | 6.000000 | 40.000000 | 4.033333 | 46.735262 | 46.735262 |
| 21 | 2016-01-11 20:30:00 | 190 | 40 | 20.963333 | 47.633333 | 20.260000 | 45.530000 | 20.200000 | 47.026667 | 19.260000 | ... | 16.890000 | 45.126667 | 6.000000 | 735.300000 | 87.500000 | 6.000000 | 40.000000 | 4.000000 | 10.607126 | 10.607126 |
| 22 | 2016-01-11 20:40:00 | 110 | 40 | 21.033333 | 47.063333 | 20.290000 | 45.223333 | 20.260000 | 46.826667 | 19.323333 | ... | 16.890000 | 45.060000 | 6.000000 | 735.333333 | 87.333333 | 6.000000 | 40.000000 | 3.966667 | 32.583688 | 32.583688 |
| 23 | 2016-01-11 20:50:00 | 110 | 40 | 21.100000 | 46.596667 | 20.356667 | 44.963333 | 20.290000 | 46.633333 | 19.390000 | ... | 16.890000 | 45.000000 | 6.000000 | 735.366667 | 87.166667 | 6.000000 | 40.000000 | 3.933333 | 6.277755 | 6.277755 |
| 24 | 2016-01-11 21:00:00 | 110 | 30 | 21.133333 | 46.060000 | 20.426667 | 44.760000 | 20.290000 | 46.433333 | 19.390000 | ... | 16.890000 | 44.966667 | 6.000000 | 735.400000 | 87.000000 | 6.000000 | 40.000000 | 3.900000 | 13.361033 | 13.361033 |
| 25 | 2016-01-11 21:10:00 | 110 | 20 | 21.200000 | 45.800000 | 20.500000 | 44.760000 | 20.390000 | 46.223333 | 19.390000 | ... | 16.890000 | 44.900000 | 5.933333 | 735.466667 | 87.166667 | 6.000000 | 40.000000 | 3.866667 | 19.305705 | 19.305705 |
| 26 | 2016-01-11 21:20:00 | 100 | 30 | 21.290000 | 45.900000 | 20.533333 | 45.090000 | 20.390000 | 46.090000 | 19.390000 | ... | 16.890000 | 44.790000 | 5.866667 | 735.533333 | 87.333333 | 6.000000 | 40.000000 | 3.833333 | 0.669517 | 0.669517 |
| 27 | 2016-01-11 21:30:00 | 100 | 20 | 21.356667 | 45.826667 | 20.666667 | 45.163333 | 20.390000 | 46.090000 | 19.390000 | ... | 16.890000 | 44.790000 | 5.800000 | 735.600000 | 87.500000 | 6.000000 | 40.000000 | 3.800000 | 19.119398 | 19.119398 |
| 28 | 2016-01-11 21:40:00 | 100 | 20 | 21.390000 | 45.690000 | 20.700000 | 45.060000 | 20.390000 | 46.090000 | 19.426667 | ... | 16.890000 | 44.700000 | 5.733333 | 735.666667 | 87.666667 | 6.000000 | 40.000000 | 3.766667 | 43.484542 | 43.484542 |
| 29 | 2016-01-11 21:50:00 | 100 | 20 | 21.500000 | 45.333333 | 20.700000 | 44.933333 | 20.390000 | 46.060000 | 19.566667 | ... | 16.890000 | 44.700000 | 5.666667 | 735.733333 | 87.833333 | 6.000000 | 40.000000 | 3.733333 | 17.017450 | 17.017450 |
| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |
| 19705 | 2016-05-27 13:10:00 | 280 | 0 | 25.033333 | 48.363333 | 26.528571 | 40.595714 | 28.496667 | 41.900000 | 24.500000 | ... | 23.100000 | 46.500000 | 21.250000 | 756.050000 | 59.833333 | 1.166667 | 23.666667 | 13.100000 | 32.420348 | 32.420348 |
| 19706 | 2016-05-27 13:20:00 | 240 | 0 | 25.166667 | 48.156667 | 26.600000 | 40.940000 | 28.290000 | 41.966667 | 24.500000 | ... | 23.100000 | 46.500000 | 21.400000 | 756.000000 | 59.666667 | 1.333333 | 23.333333 | 13.200000 | 49.189027 | 49.189027 |
| 19707 | 2016-05-27 13:30:00 | 250 | 0 | 25.323333 | 47.930000 | 26.600000 | 41.012857 | 28.200000 | 42.090000 | 24.533333 | ... | 23.100000 | 46.522500 | 21.550000 | 755.950000 | 59.500000 | 1.500000 | 23.000000 | 13.300000 | 15.081162 | 15.081162 |
| 19708 | 2016-05-27 13:40:00 | 220 | 0 | 25.390000 | 47.656667 | 26.600000 | 41.036000 | 28.200000 | 42.030000 | 24.600000 | ... | 23.100000 | 46.530000 | 21.700000 | 755.900000 | 59.333333 | 1.666667 | 22.666667 | 13.400000 | 45.226866 | 45.226866 |
| 19709 | 2016-05-27 13:50:00 | 230 | 0 | 25.500000 | 47.133333 | 26.600000 | 41.000000 | 28.200000 | 41.796667 | 24.600000 | ... | 23.100000 | 46.530000 | 21.850000 | 755.850000 | 59.166667 | 1.833333 | 22.333333 | 13.500000 | 5.773431 | 5.773431 |
| 19710 | 2016-05-27 14:00:00 | 190 | 10 | 25.500000 | 47.060000 | 26.540000 | 41.000000 | 28.200000 | 41.530000 | 24.600000 | ... | 23.100000 | 46.530000 | 22.000000 | 755.800000 | 59.000000 | 2.000000 | 22.000000 | 13.600000 | 41.515044 | 41.515044 |
| 19711 | 2016-05-27 14:10:00 | 160 | 0 | 25.600000 | 46.990000 | 26.512500 | 41.203750 | 28.200000 | 41.590000 | 24.633333 | ... | 23.100000 | 46.530000 | 21.966667 | 755.800000 | 59.000000 | 2.000000 | 21.833333 | 13.550000 | 19.540642 | 19.540642 |
| 19712 | 2016-05-27 14:20:00 | 80 | 0 | 25.600000 | 46.730000 | 26.437143 | 41.384286 | 28.426667 | 41.430000 | 24.700000 | ... | 23.100000 | 46.590000 | 21.933333 | 755.800000 | 59.000000 | 2.000000 | 21.666667 | 13.500000 | 16.977597 | 16.977597 |
| 19713 | 2016-05-27 14:30:00 | 60 | 0 | 25.566667 | 46.633333 | 26.370000 | 41.378000 | 28.566667 | 41.156667 | 24.700000 | ... | 23.100000 | 46.626667 | 21.900000 | 755.800000 | 59.000000 | 2.000000 | 21.500000 | 13.450000 | 8.991420 | 8.991420 |
| 19714 | 2016-05-27 14:40:00 | 60 | 0 | 25.500000 | 46.360000 | 26.318571 | 41.264286 | 28.566667 | 40.663333 | 24.700000 | ... | 23.100000 | 46.700000 | 21.866667 | 755.800000 | 59.000000 | 2.000000 | 21.333333 | 13.400000 | 40.409885 | 40.409885 |
| 19715 | 2016-05-27 14:50:00 | 60 | 0 | 25.500000 | 46.060000 | 26.350000 | 41.000000 | 28.426667 | 40.590000 | 24.666667 | ... | 23.100000 | 46.590000 | 21.833333 | 755.800000 | 59.000000 | 2.000000 | 21.166667 | 13.350000 | 37.889086 | 37.889086 |
| 19716 | 2016-05-27 15:00:00 | 60 | 0 | 25.500000 | 45.933333 | 26.277143 | 41.000000 | 28.356667 | 40.560000 | 24.666667 | ... | 23.100000 | 46.590000 | 21.800000 | 755.800000 | 59.000000 | 2.000000 | 21.000000 | 13.300000 | 17.123315 | 17.123315 |
| 19717 | 2016-05-27 15:10:00 | 70 | 0 | 25.500000 | 45.760000 | 26.200000 | 41.000000 | 28.290000 | 40.433333 | 24.700000 | ... | 23.133333 | 46.590000 | 21.966667 | 755.750000 | 58.333333 | 2.000000 | 21.333333 | 13.283333 | 24.058432 | 24.058432 |
| 19718 | 2016-05-27 15:20:00 | 80 | 0 | 25.500000 | 45.626667 | 26.171429 | 41.000000 | 28.260000 | 40.260000 | 24.700000 | ... | 23.133333 | 46.590000 | 22.133333 | 755.700000 | 57.666667 | 2.000000 | 21.666667 | 13.266667 | 9.538671 | 9.538671 |
| 19719 | 2016-05-27 15:30:00 | 80 | 0 | 25.500000 | 45.590000 | 26.100000 | 41.000000 | 28.200000 | 40.126667 | 24.700000 | ... | 23.166667 | 46.590000 | 22.300000 | 755.650000 | 57.000000 | 2.000000 | 22.000000 | 13.250000 | 30.020685 | 30.020685 |
| 19720 | 2016-05-27 15:40:00 | 70 | 0 | 25.500000 | 45.522500 | 26.100000 | 41.051429 | 28.200000 | 40.200000 | 24.700000 | ... | 23.100000 | 46.590000 | 22.466667 | 755.600000 | 56.333333 | 2.000000 | 22.333333 | 13.233333 | 23.851737 | 23.851737 |
| 19721 | 2016-05-27 15:50:00 | 100 | 0 | 25.500000 | 45.633333 | 26.080000 | 41.196000 | 28.133333 | 40.260000 | 24.700000 | ... | 23.200000 | 46.590000 | 22.633333 | 755.550000 | 55.666667 | 2.000000 | 22.666667 | 13.216667 | 47.981309 | 47.981309 |
| 19722 | 2016-05-27 16:00:00 | 100 | 0 | 25.500000 | 45.730000 | 26.000000 | 41.428571 | 28.100000 | 40.433333 | 24.700000 | ... | 23.200000 | 46.590000 | 22.800000 | 755.500000 | 55.000000 | 2.000000 | 23.000000 | 13.200000 | 18.215602 | 18.215602 |
| 19723 | 2016-05-27 16:10:00 | 90 | 0 | 25.500000 | 45.790000 | 26.000000 | 41.590000 | 28.100000 | 40.560000 | 24.700000 | ... | 23.160000 | 46.590000 | 22.833333 | 755.450000 | 55.000000 | 2.166667 | 22.833333 | 13.233333 | 38.751594 | 38.751594 |
| 19724 | 2016-05-27 16:20:00 | 100 | 0 | 25.500000 | 45.933333 | 26.000000 | 41.652857 | 28.000000 | 40.700000 | 24.700000 | ... | 23.200000 | 46.621429 | 22.866667 | 755.400000 | 55.000000 | 2.333333 | 22.666667 | 13.266667 | 32.306224 | 32.306224 |
| 19725 | 2016-05-27 16:30:00 | 220 | 0 | 25.426667 | 46.060000 | 26.000000 | 41.700000 | 28.000000 | 40.760000 | 24.700000 | ... | 23.200000 | 46.700000 | 22.900000 | 755.350000 | 55.000000 | 2.500000 | 22.500000 | 13.300000 | 23.009520 | 23.009520 |
| 19726 | 2016-05-27 16:40:00 | 180 | 0 | 25.500000 | 46.530000 | 26.000000 | 41.725714 | 27.856667 | 40.500000 | 24.700000 | ... | 23.200000 | 46.652857 | 22.933333 | 755.300000 | 55.000000 | 2.666667 | 22.333333 | 13.333333 | 25.296732 | 25.296732 |
| 19727 | 2016-05-27 16:50:00 | 120 | 0 | 25.500000 | 47.456667 | 26.000000 | 42.320000 | 27.663333 | 40.693333 | 24.700000 | ... | 23.200000 | 46.718000 | 22.966667 | 755.250000 | 55.000000 | 2.833333 | 22.166667 | 13.366667 | 1.796395 | 1.796395 |
| 19728 | 2016-05-27 17:00:00 | 110 | 0 | 25.600000 | 47.193333 | 25.968571 | 42.528571 | 27.390000 | 41.030000 | 24.700000 | ... | 23.200000 | 46.751429 | 23.000000 | 755.200000 | 55.000000 | 3.000000 | 22.000000 | 13.400000 | 18.248201 | 18.248201 |
| 19729 | 2016-05-27 17:10:00 | 90 | 0 | 25.533333 | 46.860000 | 25.978000 | 42.534000 | 27.323333 | 41.090000 | 24.700000 | ... | 23.200000 | 46.745000 | 22.866667 | 755.200000 | 55.333333 | 3.166667 | 22.833333 | 13.366667 | 16.966162 | 16.966162 |
| 19730 | 2016-05-27 17:20:00 | 100 | 0 | 25.566667 | 46.560000 | 25.890000 | 42.025714 | 27.200000 | 41.163333 | 24.700000 | ... | 23.200000 | 46.790000 | 22.733333 | 755.200000 | 55.666667 | 3.333333 | 23.666667 | 13.333333 | 43.096812 | 43.096812 |
| 19731 | 2016-05-27 17:30:00 | 90 | 0 | 25.500000 | 46.500000 | 25.754000 | 42.080000 | 27.133333 | 41.223333 | 24.700000 | ... | 23.200000 | 46.790000 | 22.600000 | 755.200000 | 56.000000 | 3.500000 | 24.500000 | 13.300000 | 49.282940 | 49.282940 |
| 19732 | 2016-05-27 17:40:00 | 270 | 10 | 25.500000 | 46.596667 | 25.628571 | 42.768571 | 27.050000 | 41.690000 | 24.700000 | ... | 23.200000 | 46.790000 | 22.466667 | 755.200000 | 56.333333 | 3.666667 | 25.333333 | 13.266667 | 29.199117 | 29.199117 |
| 19733 | 2016-05-27 17:50:00 | 420 | 10 | 25.500000 | 46.990000 | 25.414000 | 43.036000 | 26.890000 | 41.290000 | 24.700000 | ... | 23.200000 | 46.817500 | 22.333333 | 755.200000 | 56.666667 | 3.833333 | 26.166667 | 13.233333 | 6.322784 | 6.322784 |
| 19734 | 2016-05-27 18:00:00 | 430 | 10 | 25.500000 | 46.600000 | 25.264286 | 42.971429 | 26.823333 | 41.156667 | 24.700000 | ... | 23.200000 | 46.845000 | 22.200000 | 755.200000 | 57.000000 | 4.000000 | 27.000000 | 13.200000 | 34.118851 | 34.118851 |
19735 rows × 29 columns
data.describe(include='all')
| date | Appliances | lights | T1 | RH_1 | T2 | RH_2 | T3 | RH_3 | T4 | ... | T9 | RH_9 | T_out | Press_mm_hg | RH_out | Windspeed | Visibility | Tdewpoint | rv1 | rv2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| count | 19735 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | ... | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 | 19735.000000 |
| unique | 19735 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | ... | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| top | 2016-05-02 19:40:00 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | ... | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| freq | 1 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | ... | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| mean | NaN | 97.694958 | 3.801875 | 21.686571 | 40.259739 | 20.341219 | 40.420420 | 22.267611 | 39.242500 | 20.855335 | ... | 19.485828 | 41.552401 | 7.411665 | 755.522602 | 79.750418 | 4.039752 | 38.330834 | 3.760707 | 24.988033 | 24.988033 |
| std | NaN | 102.524891 | 7.935988 | 1.606066 | 3.979299 | 2.192974 | 4.069813 | 2.006111 | 3.254576 | 2.042884 | ... | 2.014712 | 4.151497 | 5.317409 | 7.399441 | 14.901088 | 2.451221 | 11.794719 | 4.194648 | 14.496634 | 14.496634 |
| min | NaN | 10.000000 | 0.000000 | 16.790000 | 27.023333 | 16.100000 | 20.463333 | 17.200000 | 28.766667 | 15.100000 | ... | 14.890000 | 29.166667 | -5.000000 | 729.300000 | 24.000000 | 0.000000 | 1.000000 | -6.600000 | 0.005322 | 0.005322 |
| 25% | NaN | 50.000000 | 0.000000 | 20.760000 | 37.333333 | 18.790000 | 37.900000 | 20.790000 | 36.900000 | 19.530000 | ... | 18.000000 | 38.500000 | 3.666667 | 750.933333 | 70.333333 | 2.000000 | 29.000000 | 0.900000 | 12.497889 | 12.497889 |
| 50% | NaN | 60.000000 | 0.000000 | 21.600000 | 39.656667 | 20.000000 | 40.500000 | 22.100000 | 38.530000 | 20.666667 | ... | 19.390000 | 40.900000 | 6.916667 | 756.100000 | 83.666667 | 3.666667 | 40.000000 | 3.433333 | 24.897653 | 24.897653 |
| 75% | NaN | 100.000000 | 0.000000 | 22.600000 | 43.066667 | 21.500000 | 43.260000 | 23.290000 | 41.760000 | 22.100000 | ... | 20.600000 | 44.338095 | 10.408333 | 760.933333 | 91.666667 | 5.500000 | 40.000000 | 6.566667 | 37.583769 | 37.583769 |
| max | NaN | 1080.000000 | 70.000000 | 26.260000 | 63.360000 | 29.856667 | 56.026667 | 29.236000 | 50.163333 | 26.200000 | ... | 24.500000 | 53.326667 | 26.100000 | 772.300000 | 100.000000 | 14.000000 | 66.000000 | 15.500000 | 49.996530 | 49.996530 |
11 rows × 29 columns
plt.figure(figsize=(20,11))
sns.heatmap(data.corr(),annot=True,cmap="BuPu")
plt.show()
data.drop(['date','lights','T9','T6','Visibility','rv1','rv2'],axis=1,inplace=True)
fig = make_subplots(rows=5, cols=5,subplot_titles=list(data.columns))
a=1
b=1
for i in data.columns:
fig.append_trace(go.Histogram(x=data[i],name=i,marker_color='#EB89B5'),a, b)
if b==5:
b=1
a+=1
else : b+=1
fig.show()
fig = go.Figure()
for i in data.columns:
fig.add_trace(go.Box(x=data[i],name=i,marker_color='lightseagreen'))
fig.show()
data.shape
(19735, 22)
data=data[(np.abs(stats.zscore(data)) < 3.25).all(axis=1)]
data.shape
(18500, 22)
x=data.iloc[:,1:]
y=data.iloc[:,0]
scaler = Normalizer()
x_scaled = scaler.fit_transform(x)
x_scaled = pd.DataFrame(x_scaled, columns=np.array(x.columns))
x_train, x_test, y_train, y_test = train_test_split(x_scaled, y, test_size=0.3,random_state=85)
x_train.index=list(range(x_train.shape[0]))
x_test.index=list(range(x_test.shape[0]))
y_train.index=list(range(y_train.shape[0]))
y_test.index=list(range(y_test.shape[0]))
x_train.insert(0,'X0',1)
x_test.insert(0,'X0',1)
def y_hat_sum_of_squared(x,betas):
return x.multiply(betas,axis=1).sum(axis=1)
def cost_sum_of_squared(x,y,betas):
y_hat=y_hat_sum_of_squared(x,betas)
Cost_function_value = (((y_hat.subtract(y,axis='rows')).apply(lambda x: x**2)).sum())/(2*(len(y)))
return Cost_function_value
#def initialize_betas(train,ub,lb):
# beta=[]
# for i in range(len(train.columns)):
# beta.append(random.uniform(ub,lb))
# return pd.Series(beta,index=train.columns)
def y_hat_sigmoid(x,betas):
y=x.multiply(betas,axis=1).sum(axis=1)
y_hat=y.apply(lambda x: 1/(1+math.exp(-x)))
return y_hat
def cost_sigmoid(x,y,betas):
y_hat=y_hat_sigmoid(x,betas)
y_0=y.multiply((y_hat.apply(lambda x: math.log(x))))
y_1=(y.apply(lambda x: 1-x)).multiply((y_hat.apply(lambda x: math.log(1-x))))
Cost_function_value = ((y_0.add(y_1)).sum())*(-1/(len(y)))
return Cost_function_value
def update_betas(flag,x,y,betas,alpha):
if flag=='lr':
y_hat=y_hat_sum_of_squared(x,betas)
elif flag=='lgr':
y_hat=y_hat_sigmoid(x,betas)
new_betas=betas.subtract((((x.multiply(y_hat.subtract(y,axis='rows'),axis=0)).sum())/len(y))*alpha,axis='rows')
return new_betas
def batch_gradient_descent_v3(flag,x_train,y_train,x_test,y_test,alpha,criteria,max_runs):
#### Initialize betas
betas=pd.Series(0,index=x_train.columns)
initial_beta=betas
### In function variables
graph=pd.DataFrame(columns=['Cost_train','Cost_test','Iteration','Alpha','Convergence_criteria','Accuracy'])
a=0
if flag=='lr':
for i in range(max_runs):
## Training Cost Calculation
cost_train=cost_sum_of_squared(x_train,y_train,betas)
## Test Cost Calculation
cost_test=cost_sum_of_squared(x_test,y_test,betas)
#### Appending data graph variable
graph=graph.append({'Cost_train':cost_train,'Cost_test':cost_test,'Iteration':a+1,
'Alpha':alpha,'Convergence_criteria':criteria,'Accuracy':0},ignore_index=True)
## Update Rule
betas=update_betas(flag,x_train,y_train,betas,alpha)
a+=1
print("Iteration : ",a," Cost train: ",graph['Cost_train'].iloc[-1]," Cost test: ",graph['Cost_test'].iloc[-1])
if a>1:
if(graph['Cost_train'].iloc[-2]-graph['Cost_train'].iloc[-1])<0:
print('Cost Function Increasing with iteration')
print('Alpha value too large')
break
elif(graph['Cost_train'].iloc[-2]-graph['Cost_train'].iloc[-1])<=criteria :
print('Convergence Achieved at ',graph['Iteration'].iloc[-1],' iteration')
print('Cost Minima Found : ',graph['Cost_train'].iloc[-1])
print('Betas : ')
print(betas)
break
else: continue
elif flag=='lgr':
for i in range(max_runs):
## Training Cost Calculation
cost_train=cost_sigmoid(x_train,y_train,betas)
## Test Cost Calculation
cost_test=cost_sigmoid(x_test,y_test,betas)
## Accuracy test
result=pd.concat([y_test,y_hat_sigmoid(x_test,betas).apply(lambda x: 0 if x<0.5 else 1)],axis=1) ## Alpha=4
result['prediction']=np.where(result['Appliances']==result[0],'good','bad')
Correct_pred=result[result['prediction']=='good']['prediction'].count()
Total_pred=result.shape[0]
Acc=Correct_pred/Total_pred
#### Appending data graph variable
graph=graph.append({'Cost_train':cost_train,'Cost_test':cost_test,'Iteration':a+1,
'Alpha':alpha,'Convergence_criteria':criteria,'Accuracy':Acc},
ignore_index=True)
## Update Rule
betas=update_betas(flag,x_train,y_train,betas,alpha)
a+=1
print("Iteration : ",a," Cost train: ",graph['Cost_train'].iloc[-1]," Cost test: ",
graph['Cost_test'].iloc[-1]," Accuracy: ",graph['Accuracy'].iloc[-1])
if a>1:
if(graph['Cost_train'].iloc[-2]-graph['Cost_train'].iloc[-1])<=0:
print('Cost Function Increasing with iteration')
print('Alpha value too large')
break
#elif(graph['Cost_train'].iloc[-2]-graph['Cost_train'].iloc[-1])<=criteria :
# print('Convergence Achieved at ',graph['Iteration'].iloc[-1],' iteration')
# print('Cost Minima Found : ',graph['Cost_train'].iloc[-1])
# print('Betas : ')
# print(betas)
# break
else: continue
return initial_beta,betas,graph
initial_params,params,graph=batch_gradient_descent_v3('lr',x_train,y_train,x_test,y_test,0.01,0.01,100000)
Iteration : 1 Cost train: 6148.891891891892 Cost test: 6291.477477477478 Iteration : 2 Cost train: 6004.921595392998 Cost test: 6146.140784354759 Iteration : 3 Cost train: 5866.6459199546825 Cost test: 6006.525970946973 Iteration : 4 Cost train: 5733.8396173644505 Cost test: 5872.407245918736 Iteration : 5 Cost train: 5606.286349003106 Cost test: 5743.56773832182 Iteration : 6 Cost train: 5483.778333429736 Cost test: 5619.799144966726 Iteration : 7 Cost train: 5366.116007906323 Cost test: 5500.901391738041 Iteration : 8 Cost train: 5253.107703310571 Cost test: 5386.682308302158 Iteration : 9 Cost train: 5144.569331907452 Cost test: 5276.957315677658 Iteration : 10 Cost train: 5040.324087470774 Cost test: 5171.549126159725 Iteration : 11 Cost train: 4940.202157266335 Cost test: 5070.287455109965 Iteration : 12 Cost train: 4844.040445427434 Cost test: 4973.008744142392 Iteration : 13 Cost train: 4751.682307272158 Cost test: 4879.555895254906 Iteration : 14 Cost train: 4662.977294129624 Cost test: 4789.7780154733655 Iteration : 15 Cost train: 4577.780908259506 Cost test: 4703.530171592525 Iteration : 16 Cost train: 4495.954367465604 Cost test: 4620.673154614529 Iteration : 17 Cost train: 4417.364379020042 Cost test: 4541.073253501451 Iteration : 18 Cost train: 4341.8829225297695 Cost test: 4464.602037873537 Iteration : 19 Cost train: 4269.387041391689 Cost test: 4391.136149299365 Iteration : 20 Cost train: 4199.758642496697 Cost test: 4320.557100838167 Iteration : 21 Cost train: 4132.884303856324 Cost test: 4252.751084507926 Iteration : 22 Cost train: 4068.6550898386313 Cost test: 4187.608786365859 Iteration : 23 Cost train: 4006.966373712364 Cost test: 4125.025208900202 Iteration : 24 Cost train: 3947.717667210289 Cost test: 4064.8995004441986 Iteration : 25 Cost train: 3890.8124568340877 Cost test: 4007.134791334559 Iteration : 26 Cost train: 3836.1580466341297 Cost test: 3951.6380365477057 Iteration : 27 Cost train: 3783.665407208026 Cost test: 3898.3198645576217 Iteration : 28 Cost train: 3733.249030671973 Cost test: 3847.0944321692555 Iteration : 29 Cost train: 3684.826791368649 Cost test: 3797.8792850912046 Iteration : 30 Cost train: 3638.3198120847424 Cost test: 3750.595224020697 Iteration : 31 Cost train: 3593.652335560183 Cost test: 3705.1661760228926 Iteration : 32 Cost train: 3550.7516010797776 Cost test: 3661.519070995141 Iteration : 33 Cost train: 3509.5477259462036 Cost test: 3619.5837230151287 Iteration : 34 Cost train: 3469.9735916412856 Cost test: 3579.2927163797576 Iteration : 35 Cost train: 3431.9647344901123 Cost test: 3540.5812961492934 Iteration : 36 Cost train: 3395.45924064989 Cost test: 3503.3872630186083 Iteration : 37 Cost train: 3360.3976452524594 Cost test: 3467.6508723444235 Iteration : 38 Cost train: 3326.722835536189 Cost test: 3433.314737164195 Iteration : 39 Cost train: 3294.3799578094436 Cost test: 3400.323735048811 Iteration : 40 Cost train: 3263.316328094071 Cost test: 3368.624918637502 Iteration : 41 Cost train: 3233.4813463033447 Cost test: 3338.1674297093473 Iteration : 42 Cost train: 3204.8264138145623 Cost test: 3308.9024166515455 Iteration : 43 Cost train: 3177.304854302024 Cost test: 3280.7829551901277 Iteration : 44 Cost train: 3150.871837701421 Cost test: 3253.7639722541066 Iteration : 45 Cost train: 3125.484307181789 Cost test: 3227.8021728491676 Iteration : 46 Cost train: 3101.1009090060456 Cost test: 3202.855969821898 Iteration : 47 Cost train: 3077.6819251658667 Cost test: 3178.885416400252 Iteration : 48 Cost train: 3055.18920868116 Cost test: 3155.8521414004886 Iteration : 49 Cost train: 3033.5861214587376 Cost test: 3133.7192869951423 Iteration : 50 Cost train: 3012.8374746089644 Cost test: 3112.4514489407575 Iteration : 51 Cost train: 2992.909471123154 Cost test: 3092.0146191681406 Iteration : 52 Cost train: 2973.76965081833 Cost test: 3072.3761306417014 Iteration : 53 Cost train: 2955.386837459682 Cost test: 3053.504604398179 Iteration : 54 Cost train: 2937.731087974561 Cost test: 3035.369898678569 Iteration : 55 Cost train: 2920.773643675298 Cost test: 3017.943060070506 Iteration : 56 Cost train: 2904.48688341138 Cost test: 3001.1962765815842 Iteration : 57 Cost train: 2888.8442785746706 Cost test: 2985.102832567303 Iteration : 58 Cost train: 2873.820349884382 Cost test: 2969.6370654402835 Iteration : 59 Cost train: 2859.390625881394 Cost test: 2954.774324090342 Iteration : 60 Cost train: 2845.531603064316 Cost test: 2940.4909289477773 Iteration : 61 Cost train: 2832.220707602349 Cost test: 2926.7641336248967 Iteration : 62 Cost train: 2819.436258562573 Cost test: 2913.572088073395 Iteration : 63 Cost train: 2807.157432591769 Cost test: 2900.8938031976477 Iteration : 64 Cost train: 2795.3642299952344 Cost test: 2888.7091168663505 Iteration : 65 Cost train: 2784.037442157336 Cost test: 2876.9986612672437 Iteration : 66 Cost train: 2773.1586202507224 Cost test: 2865.743831551801 Iteration : 67 Cost train: 2762.71004518324 Cost test: 2854.926755718893 Iteration : 68 Cost train: 2752.6746987335814 Cost test: 2844.5302656884446 Iteration : 69 Cost train: 2743.0362358286443 Cost test: 2834.5378695180407 Iteration : 70 Cost train: 2733.7789579174555 Cost test: 2824.9337247172944 Iteration : 71 Cost train: 2724.8877873982747 Cost test: 2815.7026126165824 Iteration : 72 Cost train: 2716.348243057222 Cost test: 2806.8299137484623 Iteration : 73 Cost train: 2708.1464164784193 Cost test: 2798.3015842017426 Iteration : 74 Cost train: 2700.2689493872194 Cost test: 2790.1041329097534 Iteration : 75 Cost train: 2692.703011889614 Cost test: 2782.2245998358876 Iteration : 76 Cost train: 2685.4362815723707 Cost test: 2774.650535020942 Iteration : 77 Cost train: 2678.4569234298565 Cost test: 2767.3699784581954 Iteration : 78 Cost train: 2671.7535705848445 Cost test: 2760.3714407635002 Iteration : 79 Cost train: 2665.3153057719037 Cost test: 2753.643884608958 Iteration : 80 Cost train: 2659.1316435532035 Cost test: 2747.17670689001 Iteration : 81 Cost train: 2653.1925132377614 Cost test: 2740.959721596929 Iteration : 82 Cost train: 2647.488242476319 Cost test: 2734.983143362893 Iteration : 83 Cost train: 2642.009541505109 Cost test: 2729.237571661886 Iteration : 84 Cost train: 2636.7474880128575 Cost test: 2723.7139756307342 Iteration : 85 Cost train: 2631.69351260636 Cost test: 2718.4036794906256 Iteration : 86 Cost train: 2626.839384850966 Cost test: 2713.2983485444033 Iteration : 87 Cost train: 2622.1771998632244 Cost test: 2708.389975726879 Iteration : 88 Cost train: 2617.699365433848 Cost test: 2703.670868686319 Iteration : 89 Cost train: 2613.398589660024 Cost test: 2699.133637376089 Iteration : 90 Cost train: 2609.2678690669286 Cost test: 2694.7711821363196 Iteration : 91 Cost train: 2605.300477199083 Cost test: 2690.576682246201 Iteration : 92 Cost train: 2601.489953662975 Cost test: 2686.543584928328 Iteration : 93 Cost train: 2597.8300936030996 Cost test: 2682.665594787219 Iteration : 94 Cost train: 2594.31493759426 Cost test: 2678.9366636648474 Iteration : 95 Cost train: 2590.9387619336862 Cost test: 2675.3509808967187 Iteration : 96 Cost train: 2587.6960693171372 Cost test: 2671.902963952649 Iteration : 97 Cost train: 2584.5815798838057 Cost test: 2668.5872494470545 Iteration : 98 Cost train: 2581.5902226154412 Cost test: 2665.3986845041427 Iteration : 99 Cost train: 2578.7171270756735 Cost test: 2662.3323184639844 Iteration : 100 Cost train: 2575.957615476088 Cost test: 2659.3833949159903 Iteration : 101 Cost train: 2573.3071950561175 Cost test: 2656.547344046871 Iteration : 102 Cost train: 2570.7615507643513 Cost test: 2653.819775290629 Iteration : 103 Cost train: 2568.316538229325 Cost test: 2651.1964702686746 Iteration : 104 Cost train: 2565.9681770083535 Cost test: 2648.673376008581 Iteration : 105 Cost train: 2563.712644103398 Cost test: 2646.2465984304827 Iteration : 106 Cost train: 2561.546267733415 Cost test: 2643.9123960905363 Iteration : 107 Cost train: 2559.4655213530336 Cost test: 2641.667174171291 Iteration : 108 Cost train: 2557.4670179078253 Cost test: 2639.507478709208 Iteration : 109 Cost train: 2555.547504316797 Cost test: 2637.4299910499662 Iteration : 110 Cost train: 2553.7038561731356 Cost test: 2635.431522522551 Iteration : 111 Cost train: 2551.933072654555 Cost test: 2633.509009323483 Iteration : 112 Cost train: 2550.2322716349654 Cost test: 2631.659507602889 Iteration : 113 Cost train: 2548.5986849894994 Cost test: 2629.880188744436 Iteration : 114 Cost train: 2547.0296540852414 Cost test: 2628.168334831474 Iteration : 115 Cost train: 2545.522625450325 Cost test: 2626.521334292032 Iteration : 116 Cost train: 2544.075146614332 Cost test: 2624.9366777155997 Iteration : 117 Cost train: 2542.684862113225 Cost test: 2623.4119538349114 Iteration : 118 Cost train: 2541.3495096523043 Cost test: 2621.944845666215 Iteration : 119 Cost train: 2540.0669164209344 Cost test: 2620.533126801767 Iteration : 120 Cost train: 2538.834995553043 Cost test: 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2605.5256488084733 Iteration : 134 Cost train: 2525.9178134902904 Cost test: 2604.7294016262963 Iteration : 135 Cost train: 2525.24465369256 Cost test: 2603.9627195721328 Iteration : 136 Cost train: 2524.5980604189335 Cost test: 2603.2244705053845 Iteration : 137 Cost train: 2523.976982844204 Cost test: 2602.513566321786 Iteration : 138 Cost train: 2523.3804117080876 Cost test: 2601.8289612264484 Iteration : 139 Cost train: 2522.8073776711453 Cost test: 2601.169650074913 Iteration : 140 Cost train: 2522.256949735731 Cost test: 2600.534666779539 Iteration : 141 Cost train: 2521.7282337293973 Cost test: 2599.9230827786323 Iteration : 142 Cost train: 2521.2203708482916 Cost test: 2599.3340055658578 Iteration : 143 Cost train: 2520.7325362581682 Cost test: 2598.766577277534 Iteration : 144 Cost train: 2520.263937750734 Cost test: 2598.2199733355446 Iteration : 145 Cost train: 2519.8138144531445 Cost test: 2597.693401143668 Iteration : 146 Cost train: 2519.381435588544 Cost test: 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2585.53798133331 Iteration : 199 Cost train: 2510.0712462614924 Cost test: 2585.459953748317 Iteration : 200 Cost train: 2510.0209934542004 Cost test: 2585.3844465007905 Iteration : 201 Cost train: 2509.97266848346 Cost test: 2585.3113699478968 Iteration : 202 Cost train: 2509.9261950964337 Cost test: 2585.2406377918987 Iteration : 203 Cost train: 2509.8815000564323 Cost test: 2585.1721669518497 Iteration : 204 Cost train: 2509.8385130236115 Cost test: 2585.105877440287 Iteration : 205 Cost train: 2509.797166440387 Cost test: 2585.0416922447166 Iteration : 206 Cost train: 2509.7573954213863 Cost test: 2584.9795372137173 Iteration : 207 Cost train: 2509.7191376477467 Cost test: 2584.919340947467 Iteration : 208 Cost train: 2509.682333265603 Cost test: 2584.8610346925325 Iteration : 209 Cost train: 2509.646924788582 Cost test: 2584.80455224074 Iteration : 210 Cost train: 2509.6128570041574 Cost test: 2584.749829831984 Iteration : 211 Cost train: 2509.580076883712 Cost test: 2584.6968060608015 Iteration : 212 Cost train: 2509.548533496151 Cost test: 2584.645421786585 Iteration : 213 Cost train: 2509.5181779249347 Cost test: 2584.595620047266 Iteration : 214 Cost train: 2509.4889631883984 Cost test: 2584.547345976361 Iteration : 215 Cost train: 2509.4608441632145 Cost test: 2584.500546723225 Iteration : 216 Cost train: 2509.4337775108893 Cost test: 2584.4551713764017 Iteration : 217 Cost train: 2509.407721607163 Cost test: 2584.41117088994 Iteration : 218 Cost train: 2509.3826364742063 Cost test: 2584.36849801257 Iteration : 219 Cost train: 2509.358483715494 Cost test: 2584.327107219615 Iteration : 220 Cost train: 2509.3352264532587 Cost test: 2584.286954647543 Iteration : 221 Cost train: 2509.312829268417 Cost test: 2584.247998031049 Iteration : 222 Cost train: 2509.291258142871 Cost test: 2584.2101966425694 Iteration : 223 Cost train: 2509.2704804040945 Cost test: 2584.173511234137 Iteration : 224 Cost train: 2509.250464671907 Cost test: 2584.137903981477 Iteration : 225 Cost train: 2509.231180807359 Cost test: 2584.1033384302686 Iteration : 226 Cost train: 2509.2125998636325 Cost test: 2584.0697794444773 Iteration : 227 Cost train: 2509.194694038888 Cost test: 2584.037193156676 Iteration : 228 Cost train: 2509.1774366309755 Cost test: 2584.0055469202953 Iteration : 229 Cost train: 2509.160801993937 Cost test: 2583.9748092636964 Iteration : 230 Cost train: 2509.1447654962294 Cost test: 2583.944949846028 Iteration : 231 Cost train: 2509.129303480597 Cost test: 2583.9159394147755 Iteration : 232 Cost train: 2509.1143932255395 Cost test: 2583.887749764944 Iteration : 233 Cost train: 2509.1000129082936 Cost test: 2583.8603536998153 Iteration : 234 Cost train: 2509.0861415692843 Cost test: 2583.8337249932074 Iteration : 235 Cost train: 2509.0727590779875 Cost test: 2583.8078383531893 Iteration : 236 Cost train: 2509.0598461001287 Cost test: 2583.7826693871884 Iteration : 237 Cost train: 2509.047384066194 Cost test: 2583.758194568432 Iteration : 238 Cost train: 2509.0353551411777 Cost test: 2583.73439120368 Iteration : 239 Cost train: 2509.0237421955308 Cost test: 2583.711237402198 Iteration : 240 Cost train: 2509.0125287772544 Cost test: 2583.6887120459087 Iteration : 241 Cost train: 2509.0016990851027 Cost test: 2583.6667947606966 Iteration : 242 Cost train: 2508.9912379428406 Cost test: 2583.6454658888033 Iteration : 243 Cost train: 2508.9811307745204 Cost test: 2583.6247064622826 Iteration : 244 Cost train: 2508.9713635807425 Cost test: 2583.6044981774653 Convergence Achieved at 244.0 iteration Cost Minima Found : 2508.9713635807425 Betas : X0 42.409463 T1 1.216730 RH_1 2.266395 T2 1.177598 RH_2 2.156583 T3 1.262312 RH_3 2.168333 T4 1.171987 RH_4 2.138609 T5 1.086625 RH_5 2.711602 RH_6 2.322392 T7 1.133409 RH_7 1.853996 T8 1.239049 RH_8 2.206655 RH_9 2.208502 T_out 0.534300 Press_mm_hg 41.517579 RH_out 3.816893 Windspeed 0.268481 Tdewpoint 0.217483 dtype: float64
fig=go.Figure()
fig.add_trace(go.Scatter(y=graph['Cost_train'],
x=graph['Iteration'],
mode='lines',
name='Train'))
fig.add_trace(go.Scatter(y=graph['Cost_test'],
x=graph['Iteration'],
mode='lines',
name='Test'))
fig.update_layout(title='Cost Vs Iteration',
xaxis_title='Iteration',
yaxis_title='Cost')
fig.show()
x=[0.001,0.003,0.005,0.01,0.05,0.5,1]
minima=pd.DataFrame(columns=['Alpha','Cost_test','Iteration'])
for i in x:
initial_params,params,graph=batch_gradient_descent_v3('lr',x_train,y_train,x_test,y_test,i,0.01,100000)
minima=minima.append(graph[['Alpha','Cost_test','Iteration']],ignore_index=True)
Iteration : 1 Cost train: 6148.891891891892 Cost test: 6291.477477477478 Iteration : 2 Cost train: 6134.364134792519 Cost test: 6276.8130823934025 Iteration : 3 Cost train: 6119.894362772303 Cost test: 6262.206944961773 Iteration : 4 Cost train: 6105.482344391204 Cost test: 6247.658833199511 Iteration : 5 Cost train: 6091.127849132951 Cost test: 6233.168516048373 Iteration : 6 Cost train: 6076.830647401346 Cost test: 6218.735763371273 Iteration : 7 Cost train: 6062.590510516595 Cost test: 6204.360345948607 Iteration : 8 Cost train: 6048.407210711653 Cost test: 6190.042035474587 Iteration : 9 Cost train: 6034.280521128573 Cost test: 6175.780604553596 Iteration : 10 Cost train: 6020.210215814887 Cost test: 6161.575826696563 Iteration : 11 Cost train: 6006.196069719985 Cost test: 6147.427476317343 Iteration : 12 Cost train: 5992.237858691518 Cost test: 6133.335328729115 Iteration : 13 Cost train: 5978.3353594718155 Cost test: 6119.299160140798 Iteration : 14 Cost train: 5964.488349694307 Cost test: 6105.318747653472 Iteration : 15 Cost train: 5950.696607879973 Cost test: 6091.393869256827 Iteration : 16 Cost train: 5936.959913433797 Cost test: 6077.524303825608 Iteration : 17 Cost train: 5923.278046641241 Cost test: 6063.7098311160935 Iteration : 18 Cost train: 5909.65078866473 Cost test: 6049.950231762579 Iteration : 19 Cost train: 5896.077921540145 Cost test: 6036.245287273869 Iteration : 20 Cost train: 5882.559228173354 Cost test: 6022.594780029787 Iteration : 21 Cost train: 5869.0944923367215 Cost test: 6008.998493277715 Iteration : 22 Cost train: 5855.683498665657 Cost test: 5995.456211129115 Iteration : 23 Cost train: 5842.32603265517 Cost test: 5981.967718556097 Iteration : 24 Cost train: 5829.021880656442 Cost test: 5968.532801387972 Iteration : 25 Cost train: 5815.770829873406 Cost test: 5955.151246307844 Iteration : 26 Cost train: 5802.572668359342 Cost test: 5941.822840849204 Iteration : 27 Cost train: 5789.427185013487 Cost test: 5928.547373392528 Iteration : 28 Cost train: 5776.3341695776635 Cost test: 5915.32463316191 Iteration : 29 Cost train: 5763.29341263291 Cost test: 5902.154410221686 Iteration : 30 Cost train: 5750.304705596133 Cost test: 5889.036495473092 Iteration : 31 Cost train: 5737.367840716775 Cost test: 5875.970680650921 Iteration : 32 Cost train: 5724.4826110734875 Cost test: 5862.956758320199 Iteration : 33 Cost train: 5711.64881057082 Cost test: 5849.994521872871 Iteration : 34 Cost train: 5698.866233935927 Cost test: 5837.083765524506 Iteration : 35 Cost train: 5686.134676715285 Cost test: 5824.224284311011 Iteration : 36 Cost train: 5673.453935271416 Cost test: 5811.415874085355 Iteration : 37 Cost train: 5660.823806779641 Cost test: 5798.658331514316 Iteration : 38 Cost train: 5648.244089224825 Cost test: 5785.951454075229 Iteration : 39 Cost train: 5635.714581398155 Cost test: 5773.295040052758 Iteration : 40 Cost train: 5623.235082893912 Cost test: 5760.68888853567 Iteration : 41 Cost train: 5610.8053941062735 Cost test: 5748.132799413633 Iteration : 42 Cost train: 5598.425316226118 Cost test: 5735.626573374017 Iteration : 43 Cost train: 5586.0946512378505 Cost test: 5723.170011898718 Iteration : 44 Cost train: 5573.813201916218 Cost test: 5710.762917260979 Iteration : 45 Cost train: 5561.580771823178 Cost test: 5698.405092522244 Iteration : 46 Cost train: 5549.39716530474 Cost test: 5686.096341529005 Iteration : 47 Cost train: 5537.2621874878405 Cost test: 5673.836468909681 Iteration : 48 Cost train: 5525.175644277233 Cost test: 5661.6252800714865 Iteration : 49 Cost train: 5513.137342352372 Cost test: 5649.462581197335 Iteration : 50 Cost train: 5501.147089164326 Cost test: 5637.34817924274 Iteration : 51 Cost train: 5489.204692932701 Cost test: 5625.281881932735 Iteration : 52 Cost train: 5477.309962642568 Cost test: 5613.263497758804 Iteration : 53 Cost train: 5465.462708041411 Cost test: 5601.2928359758225 Iteration : 54 Cost train: 5453.662739636082 Cost test: 5589.369706599017 Iteration : 55 Cost train: 5441.9098686897705 Cost test: 5577.493920400924 Iteration : 56 Cost train: 5430.2039072189855 Cost test: 5565.66528890838 Iteration : 57 Cost train: 5418.544667990544 Cost test: 5553.883624399503 Iteration : 58 Cost train: 5406.93196451859 Cost test: 5542.1487399007 Iteration : 59 Cost train: 5395.365611061592 Cost test: 5530.460449183683 Iteration : 60 Cost train: 5383.845422619388 Cost test: 5518.8185667624975 Iteration : 61 Cost train: 5372.371214930215 Cost test: 5507.222907890555 Iteration : 62 Cost train: 5360.942804467774 Cost test: 5495.673288557691 Iteration : 63 Cost train: 5349.560008438285 Cost test: 5484.169525487226 Iteration : 64 Cost train: 5338.222644777564 Cost test: 5472.711436133034 Iteration : 65 Cost train: 5326.930532148116 Cost test: 5461.298838676637 Iteration : 66 Cost train: 5315.683489936229 Cost test: 5449.931552024297 Iteration : 67 Cost train: 5304.481338249088 Cost test: 5438.609395804127 Iteration : 68 Cost train: 5293.3238979119 Cost test: 5427.332190363216 Iteration : 69 Cost train: 5282.2109904650215 Cost test: 5416.099756764746 Iteration : 70 Cost train: 5271.14243816111 Cost test: 5404.911916785161 Iteration : 71 Cost train: 5260.118063962278 Cost test: 5393.768492911296 Iteration : 72 Cost train: 5249.137691537264 Cost test: 5382.6693083375585 Iteration : 73 Cost train: 5238.201145258606 Cost test: 5371.6141869631065 Iteration : 74 Cost train: 5227.308250199841 Cost test: 5360.60295338903 Iteration : 75 Cost train: 5216.458832132701 Cost test: 5349.635432915555 Iteration : 76 Cost train: 5205.652717524326 Cost test: 5338.711451539256 Iteration : 77 Cost train: 5194.8897335344955 Cost test: 5327.830835950279 Iteration : 78 Cost train: 5184.169708012852 Cost test: 5316.993413529569 Iteration : 79 Cost train: 5173.492469496159 Cost test: 5306.199012346125 Iteration : 80 Cost train: 5162.8578472055515 Cost test: 5295.447461154244 Iteration : 81 Cost train: 5152.265671043808 Cost test: 5284.738589390796 Iteration : 82 Cost train: 5141.715771592625 Cost test: 5274.0722271725 Iteration : 83 Cost train: 5131.207980109914 Cost test: 5263.448205293208 Iteration : 84 Cost train: 5120.742128527098 Cost test: 5252.866355221211 Iteration : 85 Cost train: 5110.318049446427 Cost test: 5242.3265090965415 Iteration : 86 Cost train: 5099.935576138289 Cost test: 5231.8284997283 Iteration : 87 Cost train: 5089.594542538564 Cost test: 5221.3721605919845 Iteration : 88 Cost train: 5079.294783245944 Cost test: 5210.957325826831 Iteration : 89 Cost train: 5069.036133519308 Cost test: 5200.583830233168 Iteration : 90 Cost train: 5058.818429275076 Cost test: 5190.251509269778 Iteration : 91 Cost train: 5048.6415070845815 Cost test: 5179.960199051274 Iteration : 92 Cost train: 5038.505204171471 Cost test: 5169.70973634548 Iteration : 93 Cost train: 5028.409358409084 Cost test: 5159.49995857083 Iteration : 94 Cost train: 5018.353808317874 Cost test: 5149.330703793768 Iteration : 95 Cost train: 5008.338393062817 Cost test: 5139.201810726167 Iteration : 96 Cost train: 4998.362952450841 Cost test: 5129.113118722755 Iteration : 97 Cost train: 4988.427326928264 Cost test: 5119.064467778544 Iteration : 98 Cost train: 4978.531357578245 Cost test: 5109.055698526289 Iteration : 99 Cost train: 4968.674886118235 Cost test: 5099.086652233932 Iteration : 100 Cost train: 4958.857754897453 Cost test: 5089.1571708020765 Iteration : 101 Cost train: 4949.0798068943595 Cost test: 5079.267096761459 Iteration : 102 Cost train: 4939.340885714147 Cost test: 5069.416273270437 Iteration : 103 Cost train: 4929.640835586237 Cost test: 5059.604544112491 Iteration : 104 Cost train: 4919.9795013617895 Cost test: 5049.831753693722 Iteration : 105 Cost train: 4910.356728511222 Cost test: 5040.097747040375 Iteration : 106 Cost train: 4900.772363121738 Cost test: 5030.402369796365 Iteration : 107 Cost train: 4891.226251894862 Cost test: 5020.745468220809 Iteration : 108 Cost train: 4881.71824214399 Cost test: 5011.126889185576 Iteration : 109 Cost train: 4872.24818179195 Cost test: 5001.546480172844 Iteration : 110 Cost train: 4862.815919368562 Cost test: 4992.004089272664 Iteration : 111 Cost train: 4853.421304008225 Cost test: 4982.499565180531 Iteration : 112 Cost train: 4844.064185447495 Cost test: 4973.032757194979 Iteration : 113 Cost train: 4834.744414022687 Cost test: 4963.60351521517 Iteration : 114 Cost train: 4825.461840667478 Cost test: 4954.211689738496 Iteration : 115 Cost train: 4816.216316910526 Cost test: 4944.857131858197 Iteration : 116 Cost train: 4807.007694873094 Cost test: 4935.5396932609865 Iteration : 117 Cost train: 4797.83582726668 Cost test: 4926.259226224676 Iteration : 118 Cost train: 4788.70056739067 Cost test: 4917.015583615829 Iteration : 119 Cost train: 4779.601769129983 Cost test: 4907.808618887402 Iteration : 120 Cost train: 4770.53928695274 Cost test: 4898.638186076412 Iteration : 121 Cost train: 4761.512975907936 Cost test: 4889.5041398016065 Iteration : 122 Cost train: 4752.522691623114 Cost test: 4880.40633526114 Iteration : 123 Cost train: 4743.568290302064 Cost test: 4871.3446282302675 Iteration : 124 Cost train: 4734.649628722523 Cost test: 4862.31887505904 Iteration : 125 Cost train: 4725.766564233873 Cost test: 4853.328932670011 Iteration : 126 Cost train: 4716.91895475488 Cost test: 4844.3746585559575 Iteration : 127 Cost train: 4708.106658771398 Cost test: 4835.4559107776 Iteration : 128 Cost train: 4699.329535334121 Cost test: 4826.572547961344 Iteration : 129 Cost train: 4690.5874440563275 Cost test: 4817.724429297017 Iteration : 130 Cost train: 4681.880245111625 Cost test: 4808.911414535626 Iteration : 131 Cost train: 4673.207799231725 Cost test: 4800.133363987117 Iteration : 132 Cost train: 4664.56996770421 Cost test: 4791.390138518148 Iteration : 133 Cost train: 4655.966612370314 Cost test: 4782.681599549866 Iteration : 134 Cost train: 4647.397595622713 Cost test: 4774.007609055698 Iteration : 135 Cost train: 4638.862780403329 Cost test: 4765.368029559145 Iteration : 136 Cost train: 4630.36203020113 Cost test: 4756.762724131591 Iteration : 137 Cost train: 4621.895209049953 Cost test: 4748.19155639012 Iteration : 138 Cost train: 4613.4621815263245 Cost test: 4739.654390495332 Iteration : 139 Cost train: 4605.062812747297 Cost test: 4731.151091149184 Iteration : 140 Cost train: 4596.696968368294 Cost test: 4722.681523592823 Iteration : 141 Cost train: 4588.364514580952 Cost test: 4714.245553604445 Iteration : 142 Cost train: 4580.065318110995 Cost test: 4705.843047497141 Iteration : 143 Cost train: 4571.799246216084 Cost test: 4697.473872116774 Iteration : 144 Cost train: 4563.566166683714 Cost test: 4689.13789483985 Iteration : 145 Cost train: 4555.365947829082 Cost test: 4680.834983571402 Iteration : 146 Cost train: 4547.198458492993 Cost test: 4672.5650067428805 Iteration : 147 Cost train: 4539.063568039754 Cost test: 4664.327833310057 Iteration : 148 Cost train: 4530.961146355089 Cost test: 4656.123332750933 Iteration : 149 Cost train: 4522.8910638440575 Cost test: 4647.9513750636515 Iteration : 150 Cost train: 4514.853191428978 Cost test: 4639.811830764431 Iteration : 151 Cost train: 4506.847400547368 Cost test: 4631.704570885494 Iteration : 152 Cost train: 4498.873563149885 Cost test: 4623.629466973009 Iteration : 153 Cost train: 4490.931551698281 Cost test: 4615.586391085042 Iteration : 154 Cost train: 4483.021239163358 Cost test: 4607.575215789515 Iteration : 155 Cost train: 4475.142499022939 Cost test: 4599.595814162173 Iteration : 156 Cost train: 4467.295205259846 Cost test: 4591.6480597845575 Iteration : 157 Cost train: 4459.479232359882 Cost test: 4583.731826741992 Iteration : 158 Cost train: 4451.694455309822 Cost test: 4575.846989621567 Iteration : 159 Cost train: 4443.940749595417 Cost test: 4567.9934235101455 Iteration : 160 Cost train: 4436.217991199403 Cost test: 4560.1710039923655 Iteration : 161 Cost train: 4428.526056599509 Cost test: 4552.379607148657 Iteration : 162 Cost train: 4420.864822766491 Cost test: 4544.619109553264 Iteration : 163 Cost train: 4413.2341671621625 Cost test: 4536.889388272273 Iteration : 164 Cost train: 4405.633967737429 Cost test: 4529.190320861658 Iteration : 165 Cost train: 4398.0641029303415 Cost test: 4521.521785365317 Iteration : 166 Cost train: 4390.524451664149 Cost test: 4513.883660313134 Iteration : 167 Cost train: 4383.014893345362 Cost test: 4506.275824719038 Iteration : 168 Cost train: 4375.535307861829 Cost test: 4498.6981580790725 Iteration : 169 Cost train: 4368.0855755808025 Cost test: 4491.150540369473 Iteration : 170 Cost train: 4360.665577347044 Cost test: 4483.632852044751 Iteration : 171 Cost train: 4353.275194480899 Cost test: 4476.14497403579 Iteration : 172 Cost train: 4345.914308776412 Cost test: 4468.68678774794 Iteration : 173 Cost train: 4338.582802499433 Cost test: 4461.258175059132 Iteration : 174 Cost train: 4331.280558385728 Cost test: 4453.859018317985 Iteration : 175 Cost train: 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Iteration : 202 Cost train: 4138.236483749894 Cost test: 4258.178518742734 Iteration : 203 Cost train: 4131.733878757985 Cost test: 4251.584455877226 Iteration : 204 Cost train: 4125.257227475778 Cost test: 4245.016529242877 Iteration : 205 Cost train: 4118.806426312357 Cost test: 4238.47463488481 Iteration : 206 Cost train: 4112.381372090279 Cost test: 4231.958669262344 Iteration : 207 Cost train: 4105.981962043912 Cost test: 4225.46852924734 Iteration : 208 Cost train: 4099.60809381781 Cost test: 4219.004112122553 Iteration : 209 Cost train: 4093.259665465058 Cost test: 4212.56531558 Iteration : 210 Cost train: 4086.9365754456535 Cost test: 4206.152037719327 Iteration : 211 Cost train: 4080.6387226248753 Cost test: 4199.764177046177 Iteration : 212 Cost train: 4074.3660062716713 Cost test: 4193.401632470577 Iteration : 213 Cost train: 4068.118326057043 Cost test: 4187.064303305324 Iteration : 214 Cost train: 4061.8955820524407 Cost test: 4180.752089264376 Iteration : 215 Cost train: 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Iteration : 3109 Cost train: 2426.692704188924 Cost test: 2502.220561685778 Iteration : 3110 Cost train: 2426.6826457135007 Cost test: 2502.10987929418 Iteration : 3111 Cost train: 2426.6725894920946 Cost test: 2502.2036222032452 Iteration : 3112 Cost train: 2426.662535523806 Cost test: 2502.093417247863 Iteration : 3113 Cost train: 2426.652483807739 Cost test: 2502.186691982929 Iteration : 3114 Cost train: 2426.6424343429953 Cost test: 2502.076962270311 Iteration : 3115 Cost train: 2426.6323871286822 Cost test: 2502.169771012051 Iteration : 3116 Cost train: 2426.6223421639047 Cost test: 2502.0605143588873 Iteration : 3117 Cost train: 2426.612299447771 Cost test: 2502.1528592778795 Iteration : 3118 Cost train: 2426.602258979389 Cost test: 2502.044073510951 Iteration : 3119 Cost train: 2426.5922207578687 Cost test: 2502.135956767727 Iteration : 3120 Cost train: 2426.5821847823213 Cost test: 2502.0276397238613 Iteration : 3121 Cost train: 2426.572151051859 Cost test: 2502.119063468952 Iteration : 3122 Cost train: 2426.5621195655945 Cost test: 2502.011212994975 Iteration : 3123 Cost train: 2426.5520903226434 Cost test: 2502.1021793689574 Iteration : 3124 Cost train: 2426.5420633221197 Cost test: 2501.9947933216486 Iteration : 3125 Cost train: 2426.5320385631426 Cost test: 2502.0853044551905 Iteration : 3126 Cost train: 2426.522016044828 Cost test: 2501.978380701237 Iteration : 3127 Cost train: 2426.511995766295 Cost test: 2502.068438715143 Iteration : 3128 Cost train: 2426.501977726665 Cost test: 2501.961975131092 Iteration : 3129 Cost train: 2426.4919619250586 Cost test: 2502.051582136352 Iteration : 3130 Cost train: 2426.4819483605984 Cost test: 2501.945576608565 Iteration : 3131 Cost train: 2426.4719370324083 Cost test: 2502.0347347063953 Iteration : 3132 Cost train: 2426.4619279396125 Cost test: 2501.9291851310068 Iteration : 3133 Cost train: 2426.451921081337 Cost test: 2502.0178964128977 Iteration : 3134 Cost train: 2426.441916456709 Cost test: 2501.912800695764 Iteration : 3135 Cost train: 2426.4319140648568 Cost test: 2502.0010672435246 Iteration : 3136 Cost train: 2426.421913904909 Cost test: 2501.8964233001843 Iteration : 3137 Cost train: 2426.411915975996 Cost test: 2501.9842471859865 Convergence Achieved at 3137.0 iteration Cost Minima Found : 2426.411915975996 Betas : X0 50.915400 T1 14.514373 RH_1 107.184012 T2 51.290024 RH_2 -26.769808 T3 28.283545 RH_3 66.023806 T4 4.202032 RH_4 48.741698 T5 -5.829256 RH_5 12.517115 RH_6 -63.599637 T7 -8.030460 RH_7 -50.004085 T8 12.209429 RH_8 -107.811812 RH_9 -39.245345 T_out 80.359908 Press_mm_hg 73.482860 RH_out -355.935002 Windspeed 58.198461 Tdewpoint 3.312146 dtype: float64
pd.concat([minima.groupby('Alpha')['Cost_test'].min(),minima.groupby('Alpha')['Iteration'].max()],axis=1)
| Cost_test | Iteration | |
|---|---|---|
| Alpha | ||
| 0.001 | 2587.221676 | 1827.0 |
| 0.003 | 2584.741194 | 703.0 |
| 0.005 | 2584.140672 | 449.0 |
| 0.010 | 2583.604498 | 244.0 |
| 0.050 | 2582.918373 | 62.0 |
| 0.500 | 2526.843029 | 2015.0 |
| 1.000 | 2501.896423 | 3137.0 |
import plotly.express as px
px.line(minima, x="Iteration", y="Cost_test", color="Alpha")
x=[0.001,0.005,0.01,0.05,0.1,0.5]
best_criteria=pd.DataFrame(columns=['Convergence_criteria','Cost_test','Iteration'])
for i in x:
initial_params,params,graph=batch_gradient_descent_v3('lr',x_train,y_train,x_test,y_test,1,i,1000000)
best_criteria=best_criteria.append(graph[['Convergence_criteria','Cost_test','Iteration']],ignore_index=True)
Iteration : 1 Cost train: 6148.891891891892 Cost test: 6291.477477477478 Iteration : 2 Cost train: 6131.881685171096 Cost test: 6137.643063447518 Iteration : 3 Cost train: 6114.950036447358 Cost test: 6257.204648270228 Iteration : 4 Cost train: 6098.096582375364 Cost test: 6104.156318193907 Iteration : 5 Cost train: 6081.320961290886 Cost test: 6223.246126446692 Iteration : 6 Cost train: 6064.622813202932 Cost test: 6070.97955231276 Iteration : 7 Cost train: 6048.0017797863575 Cost test: 6189.599018458445 Iteration : 8 Cost train: 6031.457504373746 Cost test: 6038.109898693779 Iteration : 9 Cost train: 6014.9896319479485 Cost test: 6156.260457438258 Iteration : 10 Cost train: 5998.597809134429 Cost test: 6005.544516725766 Iteration : 11 Cost train: 5982.281684193641 Cost test: 6123.227602953465 Iteration : 12 Cost train: 5966.040907013291 Cost test: 5973.280592051743 Iteration : 13 Cost train: 5949.875129101235 Cost test: 6090.4976407618515 Iteration : 14 Cost train: 5933.784003577571 Cost test: 5941.315336326316 Iteration : 15 Cost train: 5917.767185167294 Cost test: 6058.067782570457 Iteration : 16 Cost train: 5901.824330192935 Cost test: 5909.645986975292 Iteration : 17 Cost train: 5885.955096567227 Cost test: 6025.935265795524 Iteration : 18 Cost train: 5870.159143785517 Cost test: 5878.269806957827 Iteration : 19 Cost train: 5854.436132918621 Cost test: 5994.097353325712 Iteration : 20 Cost train: 5838.785726605505 Cost test: 5847.184084530155 Iteration : 21 Cost train: 5823.207589046092 Cost test: 5962.551333286796 Iteration : 22 Cost train: 5807.701385993831 Cost test: 5816.386133012359 Iteration : 23 Cost train: 5792.266784748646 Cost test: 5931.294518808916 Iteration : 24 Cost train: 5776.903454149845 Cost test: 5785.873290556194 Iteration : 25 Cost train: 5761.611064568772 Cost test: 5900.324247795519 Iteration : 26 Cost train: 5746.389287902081 Cost test: 5755.642919915949 Iteration : 27 Cost train: 5731.237797564271 Cost test: 5869.63788269508 Iteration : 28 Cost train: 5716.156268480953 Cost test: 5725.692408221266 Iteration : 29 Cost train: 5701.144377081776 Cost test: 5839.232810274476 Iteration : 30 Cost train: 5686.201801293329 Cost test: 5696.019166751826 Iteration : 31 Cost train: 5671.328220532456 Cost test: 5809.106441394566 Iteration : 32 Cost train: 5656.523315699188 Cost test: 5666.620630714123 Iteration : 33 Cost train: 5641.786769169868 Cost test: 5779.256210787915 Iteration : 34 Cost train: 5627.118264790457 Cost test: 5637.494259020411 Iteration : 35 Cost train: 5612.517487869592 Cost test: 5749.679576838301 Iteration : 36 Cost train: 5597.984125171894 Cost test: 5608.637534069709 Iteration : 37 Cost train: 5583.5178649112195 Cost test: 5720.374021362575 Iteration : 38 Cost train: 5569.1183967439665 Cost test: 5580.0479615307795 Iteration : 39 Cost train: 5554.785411762369 Cost test: 5691.3370493945495 Iteration : 40 Cost train: 5540.518602487852 Cost test: 5551.723070127253 Iteration : 41 Cost train: 5526.317662864428 Cost test: 5662.5661889706125 Iteration : 42 Cost train: 5512.182288252128 Cost test: 5523.660411424424 Iteration : 43 Cost train: 5498.112175420385 Cost test: 5634.05899091744 Iteration : 44 Cost train: 5484.107022541637 Cost test: 5495.857559618231 Iteration : 45 Cost train: 5470.166529184686 Cost test: 5605.813028641714 Iteration : 46 Cost train: 5456.290396308372 Cost test: 5468.31211132625 Iteration : 47 Cost train: 5442.478326255091 Cost test: 5577.8258979218745 Iteration : 48 Cost train: 5428.730022744311 Cost test: 5441.0216853806405 Iteration : 49 Cost train: 5415.045190866268 Cost test: 5550.095216701567 Iteration : 50 Cost train: 5401.423537075666 Cost test: 5413.9839226225085 Iteration : 51 Cost train: 5387.8647691853 Cost test: 5522.618624885039 Iteration : 52 Cost train: 5374.368596359795 Cost test: 5387.196485698925 Iteration : 53 Cost train: 5360.934729109333 Cost test: 5495.393784134666 Iteration : 54 Cost train: 5347.562879283504 Cost test: 5360.657058861335 Iteration : 55 Cost train: 5334.252760064916 Cost test: 5468.418377670155 Iteration : 56 Cost train: 5321.004085963175 Cost test: 5334.363347765795 Iteration : 57 Cost train: 5307.816572808841 Cost test: 5441.690110069279 Iteration : 58 Cost train: 5294.689937747113 Cost test: 5308.313079275439 Iteration : 59 Cost train: 5281.623899231764 Cost test: 5415.206707071366 Iteration : 60 Cost train: 5268.618177019241 Cost test: 5282.504001264268 Iteration : 61 Cost train: 5255.67249216254 Cost test: 5388.965915381511 Iteration : 62 Cost train: 5242.786567005183 Cost test: 5256.933882423346 Iteration : 63 Cost train: 5229.960125175256 Cost test: 5362.965502477495 Iteration : 64 Cost train: 5217.19289157951 Cost test: 5231.600512068152 Iteration : 65 Cost train: 5204.484592397422 Cost test: 5337.203256417859 Iteration : 66 Cost train: 5191.8349550752455 Cost test: 5206.501699948195 Iteration : 67 Cost train: 5179.243708320272 Cost test: 5311.67698565207 Iteration : 68 Cost train: 5166.710582094853 Cost test: 5181.635276058109 Iteration : 69 Cost train: 5154.235307610756 Cost test: 5286.384518832403 Iteration : 70 Cost train: 5141.817617323213 Cost test: 5156.999090450724 Iteration : 71 Cost train: 5129.457244925316 Cost test: 5261.323704627607 Iteration : 72 Cost train: 5117.153925342113 Cost test: 5132.5910130516795 Iteration : 73 Cost train: 5104.90739472501 Cost test: 5236.492411537894 Iteration : 74 Cost train: 5092.717390446261 Cost test: 5108.408933475528 Iteration : 75 Cost train: 5080.583651092998 Cost test: 5211.888527712314 Iteration : 76 Cost train: 5068.50591646181 Cost test: 5084.450760844371 Iteration : 77 Cost train: 5056.483927553168 Cost test: 5187.50996076727 Iteration : 78 Cost train: 5044.517426565645 Cost test: 5060.714423607252 Iteration : 79 Cost train: 5032.606156890584 Cost test: 5163.354637606842 Iteration : 80 Cost train: 5020.749863106589 Cost test: 5037.197869361458 Iteration : 81 Cost train: 5008.948290973779 Cost test: 5139.42050424496 Iteration : 82 Cost train: 4997.201187428637 Cost test: 5013.8990646758675 Iteration : 83 Cost train: 4985.5083005783845 Cost test: 5115.705525628929 Iteration : 84 Cost train: 4973.869379695576 Cost test: 4990.815994915662 Iteration : 85 Cost train: 4962.2841752127415 Cost test: 5092.207685464916 Iteration : 86 Cost train: 4950.752438717008 Cost test: 4967.9466640684595 Iteration : 87 Cost train: 4939.273922944711 Cost test: 5068.924986044648 Iteration : 88 Cost train: 4927.8483817762035 Cost test: 4945.28909457227 Iteration : 89 Cost train: 4916.47557023043 Cost test: 5045.855448074057 Iteration : 90 Cost train: 4905.155244459788 Cost test: 4922.841327145279 Iteration : 91 Cost train: 4893.887161744652 Cost test: 5022.997110503497 Iteration : 92 Cost train: 4882.671080488415 Cost test: 4900.601420616619 Iteration : 93 Cost train: 4871.506760212181 Cost test: 5000.348030359078 Iteration : 94 Cost train: 4860.393961549514 Cost test: 4878.567451759233 Iteration : 95 Cost train: 4849.332446241429 Cost test: 4977.906282576097 Iteration : 96 Cost train: 4838.321977131268 Cost test: 4856.737515123936 Iteration : 97 Cost train: 4827.362318159334 Cost test: 4955.669959833855 Iteration : 98 Cost train: 4816.453234358273 Cost test: 4835.109722875182 Iteration : 99 Cost train: 4805.59449184757 Cost test: 4933.637172391745 Iteration : 100 Cost train: 4794.785857828848 Cost test: 4813.6822046284715 Iteration : 101 Cost train: 4784.027100580656 Cost test: 4911.806047927262 Iteration : 102 Cost train: 4773.317989453551 Cost test: 4792.453107288967 Iteration : 103 Cost train: 4762.658294865189 Cost test: 4890.174731375107 Iteration : 104 Cost train: 4752.047788295286 Cost test: 4771.4205948917015 Iteration : 105 Cost train: 4741.486242280782 Cost test: 4868.741384768028 Iteration : 106 Cost train: 4730.973430410946 Cost test: 4750.582848443317 Iteration : 107 Cost train: 4720.509127322456 Cost test: 4847.504187079106 Iteration : 108 Cost train: 4710.0931086946075 Cost test: 4729.938065765354 Iteration : 109 Cost train: 4699.725151244447 Cost test: 4826.461334065434 Iteration : 110 Cost train: 4689.405032722035 Cost test: 4709.484461338859 Iteration : 111 Cost train: 4679.132531905506 Cost test: 4805.611038113325 Iteration : 112 Cost train: 4668.907428596511 Cost test: 4689.22026615031 Iteration : 113 Cost train: 4658.729503615403 Cost test: 4784.951528084699 Iteration : 114 Cost train: 4648.598538796419 Cost test: 4669.143727539292 Iteration : 115 Cost train: 4638.514316983173 Cost test: 4764.481049165222 Iteration : 116 Cost train: 4628.476622023865 Cost test: 4649.253109047221 Iteration : 117 Cost train: 4618.485238766649 Cost test: 4744.1978627137305 Iteration : 118 Cost train: 4608.539953055031 Cost test: 4629.54669026779 Iteration : 119 Cost train: 4598.640551723276 Cost test: 4724.100246112944 Iteration : 120 Cost train: 4588.786822591716 Cost test: 4610.022766698604 Iteration : 121 Cost train: 4578.978554462342 Cost test: 4704.186492621575 Iteration : 122 Cost train: 4569.215537114155 Cost test: 4590.679649594098 Iteration : 123 Cost train: 4559.497561298708 Cost test: 4684.454911227973 Iteration : 124 Cost train: 4549.824418735552 Cost test: 4571.515665820162 Iteration : 125 Cost train: 4540.195902107774 Cost test: 4664.903826504962 Iteration : 126 Cost train: 4530.611805057552 Cost test: 4552.529157709706 Iteration : 127 Cost train: 4521.071922181705 Cost test: 4645.531578465981 Iteration : 128 Cost train: 4511.576049027327 Cost test: 4533.718482919843 Iteration : 129 Cost train: 4502.123982087253 Cost test: 4626.336522422788 Iteration : 130 Cost train: 4492.715518795848 Cost test: 4515.082014290255 Iteration : 131 Cost train: 4483.350457524569 Cost test: 4607.317028844169 Iteration : 132 Cost train: 4474.028597577596 Cost test: 4496.618139702992 Iteration : 133 Cost train: 4464.749739187557 Cost test: 4588.471483216195 Iteration : 134 Cost train: 4455.5136835112735 Cost test: 4478.3252619432815 Iteration : 135 Cost train: 4446.320232625415 Cost test: 4569.798285903653 Iteration : 136 Cost train: 4437.1691895221975 Cost test: 4460.2017985620105 Iteration : 137 Cost train: 4428.060358105327 Cost test: 4551.2958520126285 Iteration : 138 Cost train: 4418.993543185645 Cost test: 4442.246181739165 Iteration : 139 Cost train: 4409.9685504769395 Cost test: 4532.962611254896 Iteration : 140 Cost train: 4400.985186591761 Cost test: 4424.456858148827 Iteration : 141 Cost train: 4392.043259037327 Cost test: 4514.797007812767 Iteration : 142 Cost train: 4383.14257621131 Cost test: 4406.832288825022 Iteration : 143 Cost train: 4374.282947397772 Cost test: 4496.797500205778 Iteration : 144 Cost train: 4365.464182762994 Cost test: 4389.370949029123 Iteration : 145 Cost train: 4356.686093351576 Cost test: 4478.962561158386 Iteration : 146 Cost train: 4347.948491082074 Cost test: 4372.071328118565 Iteration : 147 Cost train: 4339.251188743211 Cost test: 4461.290677469036 Iteration : 148 Cost train: 4330.593999989701 Cost test: 4354.9319294162615 Iteration : 149 Cost train: 4321.976739338369 Cost test: 4443.7803498800995 Iteration : 150 Cost train: 4313.39922216397 Cost test: 4337.951270081756 Iteration : 151 Cost train: 4304.861264695496 Cost test: 4426.430092949308 Iteration : 152 Cost train: 4296.362684011985 Cost test: 4321.127880983369 Iteration : 153 Cost train: 4287.9032980386655 Cost test: 4409.238434922531 Iteration : 154 Cost train: 4279.482925543058 Cost test: 4304.4603065714955 Iteration : 155 Cost train: 4271.101386131102 Cost test: 4392.203917607198 Iteration : 156 Cost train: 4262.758500243201 Cost test: 4287.947104753167 Iteration : 157 Cost train: 4254.45408915037 Cost test: 4375.325096247385 Iteration : 158 Cost train: 4246.187974950504 Cost test: 4271.58684676754 Iteration : 159 Cost train: 4237.959980564389 Cost test: 4358.600539399739 Iteration : 160 Cost train: 4229.76992973207 Cost test: 4255.378117062906 Iteration : 161 Cost train: 4221.617647008818 Cost test: 4342.028828810755 Iteration : 162 Cost train: 4213.502957761666 Cost test: 4239.31951317443 Iteration : 163 Cost train: 4205.425688165381 Cost test: 4325.608559295011 Iteration : 164 Cost train: 4197.385665198889 Cost test: 4223.409645603407 Iteration : 165 Cost train: 4189.382716641492 Cost test: 4309.338338614689 Iteration : 166 Cost train: 4181.41667106918 Cost test: 4207.647137697362 Iteration : 167 Cost train: 4173.487357850935 Cost test: 4293.216787360164 Iteration : 168 Cost train: 4165.594607145094 Cost test: 4192.030625531408 Iteration : 169 Cost train: 4157.7382498956 Cost test: 4277.242538831643 Iteration : 170 Cost train: 4149.918117828452 Cost test: 4176.558757790474 Iteration : 171 Cost train: 4142.134043448153 Cost test: 4261.414238921733 Iteration : 172 Cost train: 4134.385860033964 Cost test: 4161.230195653035 Iteration : 173 Cost train: 4126.673401636381 Cost test: 4245.730545999699 Iteration : 174 Cost train: 4118.996503073542 Cost test: 4146.043612675481 Iteration : 175 Cost train: 4111.354999927696 Cost test: 4230.19013079586 Iteration : 176 Cost train: 4103.7487285417355 Cost test: 4130.997694677668 Iteration : 177 Cost train: 4096.177526015566 Cost test: 4214.79167628794 Iteration : 178 Cost train: 4088.6412302026342 Cost test: 4116.091139629881 Iteration : 179 Cost train: 4081.139679706506 Cost test: 4199.533877587954 Iteration : 180 Cost train: 4073.6727138772994 Cost test: 4101.322657540359 Iteration : 181 Cost train: 4066.2401728082496 Cost test: 4184.415441830289 Iteration : 182 Cost train: 4058.841897332368 Cost test: 4086.6909703439896 Iteration : 183 Cost train: 4051.477729018931 Cost test: 4169.435088060791 Iteration : 184 Cost train: 4044.1475101700757 Cost test: 4072.194811792403 Iteration : 185 Cost train: 4036.851083817411 Cost test: 4154.5915471270055 Iteration : 186 Cost train: 4029.5882937186657 Cost test: 4057.8329273444688 Iteration : 187 Cost train: 4022.358984354287 Cost test: 4139.883561569078 Iteration : 188 Cost train: 4015.16300092415 Cost test: 4043.6040740581475 Iteration : 189 Cost train: 4008.0001893442627 Cost test: 4125.309885512046 Iteration : 190 Cost train: 4000.870396243296 Cost test: 4029.507020483546 Iteration : 191 Cost train: 3993.773468959452 Cost test: 4110.869284559046 Iteration : 192 Cost train: 3986.7092555370937 Cost test: 4015.5405465564777 Iteration : 193 Cost train: 3979.6776047235135 Cost test: 4096.560535685356 Iteration : 194 Cost train: 3972.6783659656166 Cost test: 4001.7034434934008 Iteration : 195 Cost train: 3965.711389406784 Cost test: 4082.3824271334333 Iteration : 196 Cost train: 3958.776525883554 Cost test: 3987.99451368703 Iteration : 197 Cost train: 3951.8736269225087 Cost test: 4068.333758309066 Iteration : 198 Cost train: 3945.00254473699 Cost test: 3974.412570603204 Iteration : 199 Cost train: 3938.163132223991 Cost test: 4054.413339678417 Iteration : 200 Cost train: 3931.3552429609613 Cost test: 3960.9564386785137 Iteration : 201 Cost train: 3924.5787312026455 Cost test: 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2605.323416020472 Cost test: 2663.5033265079137 Iteration : 699 Cost train: 2604.631963386118 Cost test: 2690.1412057707958 Iteration : 700 Cost train: 2603.9436241775275 Cost test: 2662.18622759051 Iteration : 701 Cost train: 2603.258384032941 Cost test: 2688.704103123803 Iteration : 702 Cost train: 2602.576228656977 Cost test: 2660.881253038983 Iteration : 703 Cost train: 2601.8971438203125 Cost test: 2687.279649881014 Iteration : 704 Cost train: 2601.2211153593903 Cost test: 2659.5882900135075 Iteration : 705 Cost train: 2600.5481291761116 Cost test: 2685.8677310502767 Iteration : 706 Cost train: 2599.878171237532 Cost test: 2658.307226720643 Iteration : 707 Cost train: 2599.211227575554 Cost test: 2684.4682326932475 Iteration : 708 Cost train: 2598.5472842866384 Cost test: 2657.0379524036293 Iteration : 709 Cost train: 2597.8863275315025 Cost test: 2683.081041915668 Iteration : 710 Cost train: 2597.2283435348113 Cost test: 2655.780357332815 Iteration : 711 Cost train: 2596.573318584902 Cost test: 2681.7060468577733 Iteration : 712 Cost train: 2595.9212390334774 Cost test: 2654.5343327961373 Iteration : 713 Cost train: 2595.272091295309 Cost test: 2680.343136684789 Iteration : 714 Cost train: 2594.625861847954 Cost test: 2653.2997710897153 Iteration : 715 Cost train: 2593.982537231467 Cost test: 2678.992201577483 Iteration : 716 Cost train: 2593.342104048098 Cost test: 2652.0765655085256 Iteration : 717 Cost train: 2592.7045489620186 Cost test: 2677.6531327228436 Iteration : 718 Cost train: 2592.0698586990256 Cost test: 2650.8646103371493 Iteration : 719 Cost train: 2591.438020046266 Cost test: 2676.3258223048133 Iteration : 720 Cost train: 2590.8090198519394 Cost test: 2649.6638008406217 Iteration : 721 Cost train: 2590.1828450250287 Cost test: 2675.0101634951197 Iteration : 722 Cost train: 2589.559482535017 Cost test: 2648.4740332553497 Iteration : 723 Cost train: 2588.938919411604 Cost test: 2673.706050444204 Iteration : 724 Cost train: 2588.3211427444244 Cost test: 2647.2952047801473 Iteration : 725 Cost train: 2587.7061396827776 Cost test: 2672.413378272207 Iteration : 726 Cost train: 2587.093897435351 Cost test: 2646.1272135673025 Iteration : 727 Cost train: 2586.484403269943 Cost test: 2671.1320430600563 Iteration : 728 Cost train: 2585.877644513189 Cost test: 2644.969958713772 Iteration : 729 Cost train: 2585.2736085502906 Cost test: 2669.8619418406315 Iteration : 730 Cost train: 2584.6722828247457 Cost test: 2643.823340252431 Iteration : 731 Cost train: 2584.073654838082 Cost test: 2668.602972590007 Iteration : 732 Cost train: 2583.4777121495777 Cost test: 2642.6872591434203 Iteration : 733 Cost train: 2582.884442376007 Cost test: 2667.3550342187846 Iteration : 734 Cost train: 2582.2938331913665 Cost test: 2641.561617265556 Iteration : 735 Cost train: 2581.7058723266136 Cost test: 2666.118026563492 Iteration : 736 Cost train: 2581.120547569405 Cost test: 2640.4463174078373 Iteration : 737 Cost train: 2580.5378467638284 Cost test: 2664.8918503780783 Iteration : 738 Cost train: 2579.957757810145 Cost test: 2639.341263261017 Iteration : 739 Cost train: 2579.380268664534 Cost test: 2663.6764073254653 Iteration : 740 Cost train: 2578.8053673388267 Cost test: 2638.2463594092615 Iteration : 741 Cost train: 2578.2330419002533 Cost test: 2662.4715999691994 Iteration : 742 Cost train: 2577.6632804711894 Cost test: 2637.1615113218795 Iteration : 743 Cost train: 2577.096071228892 Cost test: 2661.2773317651713 Iteration : 744 Cost train: 2576.531402405254 Cost test: 2636.0866253451327 Iteration : 745 Cost train: 2575.9692622865505 Cost test: 2660.093507053401 Iteration : 746 Cost train: 2575.409639213183 Cost test: 2635.0216086941186 Iteration : 747 Cost train: 2574.8525215794352 Cost test: 2658.9200310499177 Iteration : 748 Cost train: 2574.297897833217 Cost test: 2633.966369444733 Iteration : 749 Cost train: 2573.7457564758215 Cost test: 2657.7568098387023 Iteration : 750 Cost train: 2573.1960860616787 Cost test: 2632.9208165256973 Iteration : 751 Cost train: 2572.648875198106 Cost test: 2656.6037503637062 Iteration : 752 Cost train: 2572.104112545066 Cost test: 2631.884859710675 Iteration : 753 Cost train: 2571.5617868149243 Cost test: 2655.4607604209486 Iteration : 754 Cost train: 2571.0218867722037 Cost test: 2630.858409610447 Iteration : 755 Cost train: 2570.484401233346 Cost test: 2654.3277486506827 Iteration : 756 Cost train: 2569.9493190664675 Cost test: 2629.8413776651614 Iteration : 757 Cost train: 2569.416629191129 Cost test: 2653.2046245296197 Iteration : 758 Cost train: 2568.8863205780895 Cost test: 2628.83367613666 Iteration : 759 Cost train: 2568.3583822490714 Cost test: 2652.091298363262 Iteration : 760 Cost train: 2567.832803276527 Cost test: 2627.8352181008754 Iteration : 761 Cost train: 2567.309572783407 Cost test: 2650.9876812782663 Iteration : 762 Cost train: 2566.7886799429166 Cost test: 2626.8459174403006 Iteration : 763 Cost train: 2566.270113978291 Cost test: 2649.8936852149054 Iteration : 764 Cost train: 2565.7538641625656 Cost test: 2625.8656888365113 Iteration : 765 Cost train: 2565.239919818337 Cost test: 2648.809222919583 Iteration : 766 Cost train: 2564.728270317545 Cost test: 2624.8944477627806 Iteration : 767 Cost train: 2564.218905081234 Cost test: 2647.7342079374184 Iteration : 768 Cost train: 2563.7118135793385 Cost test: 2623.9321104767478 Iteration : 769 Cost train: 2563.206985330441 Cost test: 2646.668554604919 Iteration : 770 Cost train: 2562.70440990156 Cost test: 2622.978594013162 Iteration : 771 Cost train: 2562.2040769079217 Cost test: 2645.6121780426893 Iteration : 772 Cost train: 2561.705976012736 Cost test: 2622.0338161766863 Convergence Achieved at 772.0 iteration Cost Minima Found : 2561.705976012736 Betas : X0 38.295519 T1 6.894078 RH_1 25.164670 T2 17.531849 RH_2 -11.746804 T3 10.557750 RH_3 13.751759 T4 5.362185 RH_4 8.828612 T5 1.792590 RH_5 -1.103305 RH_6 -101.425995 T7 2.610794 RH_7 -17.459230 T8 6.701799 RH_8 -33.863331 RH_9 -13.265847 T_out 31.165655 Press_mm_hg 54.898733 RH_out -132.599529 Windspeed 15.636231 Tdewpoint 1.901004 dtype: float64
bar_1=pd.concat([best_criteria.groupby('Convergence_criteria')['Cost_test'].min(),
best_criteria.groupby('Convergence_criteria')['Iteration'].max()],axis=1)
bar_1['Convergence_criteria']=bar_1.index
bar_1
| Cost_test | Iteration | Convergence_criteria | |
|---|---|---|---|
| Convergence_criteria | |||
| 0.001 | 2365.316088 | 69396.0 | 0.001 |
| 0.005 | 2479.727427 | 7013.0 | 0.005 |
| 0.010 | 2501.896423 | 3137.0 | 0.010 |
| 0.050 | 2525.475706 | 1341.0 | 0.050 |
| 0.100 | 2537.051837 | 1150.0 | 0.100 |
| 0.500 | 2622.033816 | 772.0 | 0.500 |
fig=go.Figure()
for i in x:
fig.add_trace(go.Scatter(x=best_criteria.loc[best_criteria['Convergence_criteria']==i,'Cost_test'],
y=best_criteria.loc[best_criteria['Convergence_criteria']==i,'Iteration'],
name=i,
mode='lines'))
fig.update_layout(title='Cost Vs Iteration')
fig.update_yaxes(range=[0,2700])
#fig.update_xaxes(range=[0.001,0.5])
fig.show()u
fig=go.Figure()
fig.add_trace(go.Scatter(x=bar_1['Iteration'],
y=bar_1['Cost_test'],
mode='markers+lines+text',
text=bar_1['Convergence_criteria'],
textposition='top center',
line=dict(color='rgb(244,109,67)'),
marker=dict(
color=bar_1['Convergence_criteria'],
colorscale='Earth',
showscale=True,
size=12)))
fig.update_yaxes(range=[2300,2700])
fig.update_layout(title='Cost Vs Iteration',xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
CC=[0.001,0.005,0.01,0.05,0.1,0.5]
l=[]
for i in CC : l.append("Convergence "+str(i))
fig = go.Figure()
fig.add_trace(go.Bar(x=l,
y=bar_1['Cost_test'],
text=l,
textposition='outside'))
fig.update_yaxes(range=[2300,2700])
fig.update_layout(title='Cost Vs Convergence',xaxis=dict(title='Convergence criteria'),yaxis=dict(title='Cost'))
fig.show()
initial_params,params,graph_optimum=batch_gradient_descent_v3('lr',x_train,y_train,x_test,y_test,1,0.01,1000000)
Iteration : 1 Cost train: 6148.891891891892 Cost test: 6291.477477477478 Iteration : 2 Cost train: 6131.881685171096 Cost test: 6137.643063447518 Iteration : 3 Cost train: 6114.950036447358 Cost test: 6257.204648270228 Iteration : 4 Cost train: 6098.096582375364 Cost test: 6104.156318193907 Iteration : 5 Cost train: 6081.320961290886 Cost test: 6223.246126446692 Iteration : 6 Cost train: 6064.622813202932 Cost test: 6070.97955231276 Iteration : 7 Cost train: 6048.0017797863575 Cost test: 6189.599018458445 Iteration : 8 Cost train: 6031.457504373746 Cost test: 6038.109898693779 Iteration : 9 Cost train: 6014.9896319479485 Cost test: 6156.260457438258 Iteration : 10 Cost train: 5998.597809134429 Cost test: 6005.544516725766 Iteration : 11 Cost train: 5982.281684193641 Cost test: 6123.227602953465 Iteration : 12 Cost train: 5966.040907013291 Cost test: 5973.280592051743 Iteration : 13 Cost train: 5949.875129101235 Cost test: 6090.4976407618515 Iteration : 14 Cost train: 5933.784003577571 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Iteration : 3109 Cost train: 2426.692704188924 Cost test: 2502.220561685778 Iteration : 3110 Cost train: 2426.6826457135007 Cost test: 2502.10987929418 Iteration : 3111 Cost train: 2426.6725894920946 Cost test: 2502.2036222032452 Iteration : 3112 Cost train: 2426.662535523806 Cost test: 2502.093417247863 Iteration : 3113 Cost train: 2426.652483807739 Cost test: 2502.186691982929 Iteration : 3114 Cost train: 2426.6424343429953 Cost test: 2502.076962270311 Iteration : 3115 Cost train: 2426.6323871286822 Cost test: 2502.169771012051 Iteration : 3116 Cost train: 2426.6223421639047 Cost test: 2502.0605143588873 Iteration : 3117 Cost train: 2426.612299447771 Cost test: 2502.1528592778795 Iteration : 3118 Cost train: 2426.602258979389 Cost test: 2502.044073510951 Iteration : 3119 Cost train: 2426.5922207578687 Cost test: 2502.135956767727 Iteration : 3120 Cost train: 2426.5821847823213 Cost test: 2502.0276397238613 Iteration : 3121 Cost train: 2426.572151051859 Cost test: 2502.119063468952 Iteration : 3122 Cost train: 2426.5621195655945 Cost test: 2502.011212994975 Iteration : 3123 Cost train: 2426.5520903226434 Cost test: 2502.1021793689574 Iteration : 3124 Cost train: 2426.5420633221197 Cost test: 2501.9947933216486 Iteration : 3125 Cost train: 2426.5320385631426 Cost test: 2502.0853044551905 Iteration : 3126 Cost train: 2426.522016044828 Cost test: 2501.978380701237 Iteration : 3127 Cost train: 2426.511995766295 Cost test: 2502.068438715143 Iteration : 3128 Cost train: 2426.501977726665 Cost test: 2501.961975131092 Iteration : 3129 Cost train: 2426.4919619250586 Cost test: 2502.051582136352 Iteration : 3130 Cost train: 2426.4819483605984 Cost test: 2501.945576608565 Iteration : 3131 Cost train: 2426.4719370324083 Cost test: 2502.0347347063953 Iteration : 3132 Cost train: 2426.4619279396125 Cost test: 2501.9291851310068 Iteration : 3133 Cost train: 2426.451921081337 Cost test: 2502.0178964128977 Iteration : 3134 Cost train: 2426.441916456709 Cost test: 2501.912800695764 Iteration : 3135 Cost train: 2426.4319140648568 Cost test: 2502.0010672435246 Iteration : 3136 Cost train: 2426.421913904909 Cost test: 2501.8964233001843 Iteration : 3137 Cost train: 2426.411915975996 Cost test: 2501.9842471859865 Convergence Achieved at 3137.0 iteration Cost Minima Found : 2426.411915975996 Betas : X0 50.915400 T1 14.514373 RH_1 107.184012 T2 51.290024 RH_2 -26.769808 T3 28.283545 RH_3 66.023806 T4 4.202032 RH_4 48.741698 T5 -5.829256 RH_5 12.517115 RH_6 -63.599637 T7 -8.030460 RH_7 -50.004085 T8 12.209429 RH_8 -107.811812 RH_9 -39.245345 T_out 80.359908 Press_mm_hg 73.482860 RH_out -355.935002 Windspeed 58.198461 Tdewpoint 3.312146 dtype: float64
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_optimum['Iteration'],
y=graph_optimum['Cost_train'],
name='Train',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_optimum['Iteration'],
y=graph_optimum['Cost_test'],
name='Test',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration with Alpha= 1 and Criteria= 0.01 ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
x_train_sampled=x_train.sample(10,axis=1,random_state=48)
x_test_sampled=x_test.sample(10,axis=1,random_state=48)
x_train_sampled.columns
Index(['T1', 'T5', 'T3', 'T4', 'RH_4', 'RH_7', 'Press_mm_hg', 'T2', 'RH_6',
'RH_5'],
dtype='object')
x_train_sampled.insert(0,'X0',1)
x_test_sampled.insert(0,'X0',1)
initial_params,params,graph_sampled=batch_gradient_descent_v3('lr',x_train_sampled,y_train,x_test_sampled,y_test,1,0.01,1000000)
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Iteration : 693 Cost train: 2484.021473097996 Cost test: 2553.87674696166 Iteration : 694 Cost train: 2484.011298440443 Cost test: 2553.8631553894834 Iteration : 695 Cost train: 2484.0011530040565 Cost test: 2553.849598894949 Iteration : 696 Cost train: 2483.991036696243 Cost test: 2553.8360764312374 Iteration : 697 Cost train: 2483.980949424704 Cost test: 2553.822588815498 Iteration : 698 Cost train: 2483.970891097434 Cost test: 2553.809135054971 Iteration : 699 Cost train: 2483.9608616227183 Cost test: 2553.7957159155076 Iteration : 700 Cost train: 2483.950860909134 Cost test: 2553.782330455386 Iteration : 701 Cost train: 2483.940888865546 Cost test: 2553.768979392088 Convergence Achieved at 701.0 iteration Cost Minima Found : 2483.940888865546 Betas : X0 37.906850 T1 7.003366 T5 2.273038 T3 10.306242 T4 5.863749 RH_4 6.879274 RH_7 -17.691637 Press_mm_hg 56.485115 T2 17.272358 RH_6 -116.389204 RH_5 -2.478357 dtype: float64
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_optimum['Iteration'],
y=graph_optimum['Cost_train'],
name='Train_optimum',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_optimum['Iteration'],
y=graph_optimum['Cost_test'],
name='Test_optimum',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_sampled['Iteration'],
y=graph_sampled['Cost_train'],
name='Test_sampled',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_sampled['Iteration'],
y=graph_sampled['Cost_test'],
name='Test_sampled',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
x_train_pick=x_train[['Windspeed','RH_out','RH_6','RH_8','RH_1','T1','T3','RH_3','T5','T_out']]
x_test_pick=x_test[['Windspeed','RH_out','RH_6','RH_8','RH_1','T1','T3','RH_3','T5','T_out']]
x_train_pick.insert(0,'X0',1)
x_test_pick.insert(0,'X0',1)
initial_params,params,graph_pick=batch_gradient_descent_v3('lr',x_train_pick,y_train,x_test_pick,y_test,1,0.01,1000000)
Iteration : 1 Cost train: 6148.891891891892 Cost test: 6291.477477477478 Iteration : 2 Cost train: 2514.9881917654106 Cost test: 2587.47364683478 Iteration : 3 Cost train: 2512.2733484705627 Cost test: 2586.6098905379736 Iteration : 4 Cost train: 2512.1172778129767 Cost test: 2586.3954437162292 Iteration : 5 Cost train: 2511.963477665531 Cost test: 2586.2339750847477 Iteration : 6 Cost train: 2511.810145278055 Cost test: 2586.0716521181425 Iteration : 7 Cost train: 2511.657277783599 Cost test: 2585.909852941466 Iteration : 8 Cost train: 2511.5048735888195 Cost test: 2585.748539253431 Iteration : 9 Cost train: 2511.352931106777 Cost test: 2585.5877103897706 Iteration : 10 Cost train: 2511.201448756023 Cost test: 2585.4273646929887 Iteration : 11 Cost train: 2511.0504249605815 Cost test: 2585.2675005376923 Iteration : 12 Cost train: 2510.899858149929 Cost test: 2585.1081163033573 Iteration : 13 Cost train: 2510.749746758975 Cost test: 2584.9492103750295 Iteration : 14 Cost train: 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Cost test: 2582.773858186408 Iteration : 28 Cost train: 2508.5516784078964 Cost test: 2582.621936771219 Iteration : 29 Cost train: 2508.4086452417314 Cost test: 2582.4704685624647 Iteration : 30 Cost train: 2508.2660417021316 Cost test: 2582.319452036705 Iteration : 31 Cost train: 2508.1238663186623 Cost test: 2582.1688856757182 Iteration : 32 Cost train: 2507.9821176259734 Cost test: 2582.0187679664823 Iteration : 33 Cost train: 2507.840794163786 Cost test: 2581.869097401157 Iteration : 34 Cost train: 2507.6998944768734 Cost test: 2581.7198724770665 Iteration : 35 Cost train: 2507.5594171150424 Cost test: 2581.571091696682 Iteration : 36 Cost train: 2507.4193606331187 Cost test: 2581.422753567601 Iteration : 37 Cost train: 2507.279723590926 Cost test: 2581.274856602535 Iteration : 38 Cost train: 2507.140504553271 Cost test: 2581.1273993192863 Iteration : 39 Cost train: 2507.0017020899268 Cost test: 2580.980380240734 Iteration : 40 Cost train: 2506.8633147756127 Cost test: 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Iteration : 54 Cost train: 2504.968696497229 Cost test: 2578.826689513926 Iteration : 55 Cost train: 2504.836368697506 Cost test: 2578.6864848968153 Iteration : 56 Cost train: 2504.704433901463 Cost test: 2578.546694133226 Iteration : 57 Cost train: 2504.5728907653624 Cost test: 2578.4073158344686 Iteration : 58 Cost train: 2504.4417379501156 Cost test: 2578.2683486166075 Iteration : 59 Cost train: 2504.310974121265 Cost test: 2578.129791100444 Iteration : 60 Cost train: 2504.180597948972 Cost test: 2577.991641911501 Iteration : 61 Cost train: 2504.050608107995 Cost test: 2577.853899680006 Iteration : 62 Cost train: 2503.921003277679 Cost test: 2577.7165630408754 Iteration : 63 Cost train: 2503.7917821419383 Cost test: 2577.5796306336965 Iteration : 64 Cost train: 2503.6629433892376 Cost test: 2577.443101102715 Iteration : 65 Cost train: 2503.5344857125806 Cost test: 2577.306973096814 Iteration : 66 Cost train: 2503.4064078094907 Cost test: 2577.1712452695056 Iteration : 67 Cost train: 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Cost test: 2507.723467409509 Iteration : 2754 Cost train: 2432.99391931402 Cost test: 2507.7150591578647 Iteration : 2755 Cost train: 2432.9836018061433 Cost test: 2507.7066532160693 Iteration : 2756 Cost train: 2432.9732867595776 Cost test: 2507.6982495830625 Iteration : 2757 Cost train: 2432.9629741734802 Cost test: 2507.6898482577853 Iteration : 2758 Cost train: 2432.952664047008 Cost test: 2507.68144923918 Iteration : 2759 Cost train: 2432.9423563793193 Cost test: 2507.6730525261896 Iteration : 2760 Cost train: 2432.9320511695723 Cost test: 2507.664658117758 Iteration : 2761 Cost train: 2432.921748416926 Cost test: 2507.6562660128307 Iteration : 2762 Cost train: 2432.911448120541 Cost test: 2507.647876210353 Iteration : 2763 Cost train: 2432.9011502795756 Cost test: 2507.639488709273 Iteration : 2764 Cost train: 2432.8908548931936 Cost test: 2507.631103508539 Iteration : 2765 Cost train: 2432.8805619605546 Cost test: 2507.6227206071007 Iteration : 2766 Cost train: 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Cost train: 2432.603577247261 Cost test: 2507.3972475914284 Iteration : 2793 Cost train: 2432.5933526814774 Cost test: 2507.3889286479134 Iteration : 2794 Cost train: 2432.583130545383 Cost test: 2507.3806119736732 Iteration : 2795 Cost train: 2432.572910838157 Cost test: 2507.3722975676883 Iteration : 2796 Cost train: 2432.562693558978 Cost test: 2507.363985428939 Iteration : 2797 Cost train: 2432.5524787070276 Cost test: 2507.355675556408 Iteration : 2798 Cost train: 2432.5422662814867 Cost test: 2507.3473679490785 Iteration : 2799 Cost train: 2432.532056281537 Cost test: 2507.3390626059327 Iteration : 2800 Cost train: 2432.52184870636 Cost test: 2507.330759525957 Iteration : 2801 Cost train: 2432.511643555138 Cost test: 2507.3224587081368 Iteration : 2802 Cost train: 2432.501440827055 Cost test: 2507.314160151458 Iteration : 2803 Cost train: 2432.4912405212945 Cost test: 2507.3058638549096 Iteration : 2804 Cost train: 2432.481042637041 Cost test: 2507.2975698174796 Iteration : 2805 Cost train: 2432.47084717348 Cost test: 2507.289278038158 Iteration : 2806 Cost train: 2432.4606541297953 Cost test: 2507.280988515935 Iteration : 2807 Cost train: 2432.4504635051744 Cost test: 2507.2727012498026 Iteration : 2808 Cost train: 2432.4402752988035 Cost test: 2507.2644162387537 Iteration : 2809 Cost train: 2432.4300895098695 Cost test: 2507.2561334817806 Iteration : 2810 Cost train: 2432.4199061375602 Cost test: 2507.247852977879 Iteration : 2811 Cost train: 2432.4097251810635 Cost test: 2507.239574726044 Iteration : 2812 Cost train: 2432.3995466395686 Cost test: 2507.231298725272 Iteration : 2813 Cost train: 2432.3893705122646 Cost test: 2507.22302497456 Iteration : 2814 Cost train: 2432.3791967983416 Cost test: 2507.2147534729065 Iteration : 2815 Cost train: 2432.36902549699 Cost test: 2507.2064842193117 Iteration : 2816 Cost train: 2432.3588566074004 Cost test: 2507.198217212774 Iteration : 2817 Cost train: 2432.3486901287647 Cost test: 2507.1899524522955 Iteration : 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2831 Cost train: 2432.2066121265257 Cost test: 2507.0744810846763 Iteration : 2832 Cost train: 2432.1964817155417 Cost test: 2507.066249895857 Iteration : 2833 Cost train: 2432.1863537026484 Cost test: 2507.058020937242 Iteration : 2834 Cost train: 2432.1762280870457 Cost test: 2507.0497942078487 Iteration : 2835 Cost train: 2432.1661048679357 Cost test: 2507.0415697066937 Iteration : 2836 Cost train: 2432.1559840445193 Cost test: 2507.0333474327967 Iteration : 2837 Cost train: 2432.145865615999 Cost test: 2507.0251273851763 Iteration : 2838 Cost train: 2432.135749581578 Cost test: 2507.016909562854 Iteration : 2839 Cost train: 2432.125635940458 Cost test: 2507.0086939648504 Iteration : 2840 Cost train: 2432.1155246918433 Cost test: 2507.000480590189 Iteration : 2841 Cost train: 2432.105415834939 Cost test: 2506.9922694378915 Iteration : 2842 Cost train: 2432.0953093689486 Cost test: 2506.984060506983 Iteration : 2843 Cost train: 2432.0852052930777 Cost test: 2506.975853796488 Iteration : 2844 Cost train: 2432.0751036065326 Cost test: 2506.9676493054335 Iteration : 2845 Cost train: 2432.065004308519 Cost test: 2506.9594470328448 Iteration : 2846 Cost train: 2432.0549073982434 Cost test: 2506.9512469777505 Iteration : 2847 Cost train: 2432.0448128749135 Cost test: 2506.943049139179 Iteration : 2848 Cost train: 2432.0347207377367 Cost test: 2506.93485351616 Iteration : 2849 Cost train: 2432.024630985922 Cost test: 2506.9266601077234 Iteration : 2850 Cost train: 2432.0145436186776 Cost test: 2506.9184689129006 Iteration : 2851 Cost train: 2432.0044586352124 Cost test: 2506.9102799307234 Iteration : 2852 Cost train: 2431.9943760347373 Cost test: 2506.9020931602263 Iteration : 2853 Cost train: 2431.9842958164622 Cost test: 2506.8939086004416 Iteration : 2854 Cost train: 2431.974217979597 Cost test: 2506.885726250404 Iteration : 2855 Cost train: 2431.964142523354 Cost test: 2506.87754610915 Iteration : 2856 Cost train: 2431.9540694469447 Cost test: 2506.869368175716 Iteration : 2857 Cost train: 2431.943998749581 Cost test: 2506.861192449139 Iteration : 2858 Cost train: 2431.933930430477 Cost test: 2506.853018928457 Iteration : 2859 Cost train: 2431.9238644888437 Cost test: 2506.84484761271 Iteration : 2860 Cost train: 2431.9138009238973 Cost test: 2506.836678500937 Iteration : 2861 Cost train: 2431.903739734851 Cost test: 2506.82851159218 Iteration : 2862 Cost train: 2431.8936809209195 Cost test: 2506.8203468854795 Iteration : 2863 Cost train: 2431.8836244813183 Cost test: 2506.8121843798785 Iteration : 2864 Cost train: 2431.8735704152623 Cost test: 2506.804024074421 Iteration : 2865 Cost train: 2431.863518721969 Cost test: 2506.795865968151 Iteration : 2866 Cost train: 2431.8534694006544 Cost test: 2506.7877100601127 Iteration : 2867 Cost train: 2431.843422450536 Cost test: 2506.7795563493532 Iteration : 2868 Cost train: 2431.8333778708316 Cost test: 2506.7714048349194 Iteration : 2869 Cost train: 2431.8233356607593 Cost test: 2506.7632555158575 Iteration : 2870 Cost train: 2431.8132958195374 Cost test: 2506.7551083912185 Iteration : 2871 Cost train: 2431.803258346386 Cost test: 2506.7469634600498 Iteration : 2872 Cost train: 2431.7932232405233 Cost test: 2506.738820721402 Iteration : 2873 Cost train: 2431.783190501171 Cost test: 2506.730680174327 Iteration : 2874 Cost train: 2431.7731601275486 Cost test: 2506.7225418178764 Iteration : 2875 Cost train: 2431.763132118878 Cost test: 2506.7144056511024 Iteration : 2876 Cost train: 2431.75310647438 Cost test: 2506.706271673059 Iteration : 2877 Cost train: 2431.743083193277 Cost test: 2506.6981398828007 Iteration : 2878 Cost train: 2431.733062274792 Cost test: 2506.690010279383 Iteration : 2879 Cost train: 2431.7230437181465 Cost test: 2506.6818828618616 Iteration : 2880 Cost train: 2431.7130275225663 Cost test: 2506.6737576292935 Iteration : 2881 Cost train: 2431.703013687273 Cost test: 2506.6656345807364 Iteration : 2882 Cost train: 2431.6930022114934 Cost test: 2506.6575137152495 Iteration : 2883 Cost train: 2431.68299309445 Cost test: 2506.649395031892 Iteration : 2884 Cost train: 2431.6729863353703 Cost test: 2506.6412785297234 Iteration : 2885 Cost train: 2431.6629819334785 Cost test: 2506.6331642078057 Iteration : 2886 Cost train: 2431.652979888001 Cost test: 2506.625052065201 Iteration : 2887 Cost train: 2431.6429801981662 Cost test: 2506.6169421009713 Convergence Achieved at 2887.0 iteration Cost Minima Found : 2431.6429801981662 Betas : X0 121.900462 Windspeed 54.107620 RH_out -340.961600 RH_6 -81.792445 RH_8 -102.837000 RH_1 97.984207 T1 15.644724 T3 27.950460 RH_3 60.718031 T5 -3.615201 T_out 75.325509 dtype: float64
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_pick['Iteration'],
y=graph_pick['Cost_train'],
name='Train_pick',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_pick['Iteration'],
y=graph_pick['Cost_test'],
name='Test_pick',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
data= pd.read_csv("energydata_complete.csv")
data.drop(['date','lights','T9','T6','Visibility','rv1','rv2'],axis=1,inplace=True)
x=data.iloc[:,1:]
y=data.iloc[:,0]
from sklearn.preprocessing import StandardScaler
scaler = StandardScaler()
x_scaled = scaler.fit_transform(x)
x_scaled
array([[-1.11864475, 1.84382063, -0.52041138, ..., 0.82208042,
1.20769354, 0.3669753 ],
[-1.11864475, 1.61680671, -0.52041138, ..., 0.82208042,
1.07170342, 0.34313479],
[-1.11864475, 1.51795932, -0.52041138, ..., 0.82208042,
0.93571331, 0.31929428],
...,
[ 2.37445166, 1.59251371, 2.41110339, ..., -1.57154154,
-0.15220764, 2.26626907],
[ 2.37445166, 1.6913611 , 2.31325594, ..., -1.54917124,
-0.08421258, 2.25832223],
[ 2.37445166, 1.5933514 , 2.24498422, ..., -1.52680094,
-0.01621752, 2.2503754 ]])
x_scaled=np.concatenate((np.ones((x_scaled.shape[0], 1)), x_scaled), axis=1)
y=y.apply(lambda x: 1 if x>60 else 0)
y=np.array(y)
x_train, x_test, y_train, y_test = train_test_split(x_scaled, y, test_size=0.3,random_state=85)
#x_train=np.array(x_train)
#x_test=np.array(x_test)
#y_train=np.array(y_train)
#y_test=np.array(y_test)
x_test
array([[ 1. , -0.7616557 , -0.67846317, ..., 1.090524 ,
-0.83215823, -0.55088425],
[ 1. , -1.25770444, -0.77814824, ..., -0.00562063,
-0.01621752, -1.47669063],
[ 1. , 1.06064891, -0.96997919, ..., 0.59837743,
-0.42418787, 0.34313479],
...,
[ 1. , 1.06064891, -0.62066257, ..., -1.41494944,
-0.96814834, 0.16035756],
[ 1. , 0.81781333, 0.57974682, ..., -1.45969004,
-0.42418787, 0.74842342],
[ 1. , 1.17065135, 1.85973674, ..., -0.18458302,
-0.83215823, 1.34443611]])
def y_hat_sigmoid(x,betas):
z = np.dot(x, betas)
return 1 / (1 + np.exp(-z))
def cost_sigmoid(x,y,betas):
y_hat = y_hat_sigmoid(x,betas)
return (-y * np.log(y_hat) - (1 - y) * np.log(1 - y_hat)).mean()
def batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,alpha,max_runs):
betas=np.zeros(x_train.shape[1])
initial_beta=betas
graph=np.empty([0,5])
for i in range(max_runs):
## Training Cost Calculation
cost_train=cost_sigmoid(x_train,y_train,betas)
## Test Cost Calculation
cost_test=cost_sigmoid(x_test,y_test,betas)
## Accuracy test
y_test_pred= y_hat_sigmoid(x_test, betas) >=0.5
Acc=(y_test_pred == y_test).mean()
## Update Rule
y_hat=y_hat_sigmoid(x_train,betas)
gradient = np.dot(x_train.T, (y_hat - y_train)) / y_train.size
betas -= alpha * gradient
if i%1000 ==0:
print("Iteration : ",i," Cost train: ",cost_train)
#### Appending data graph variable
graph=np.vstack([graph,[i,alpha,cost_test,cost_train,Acc]])
return initial_beta,betas,graph
initial_params,params,graph=batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,0.01,300000)
Iteration : 0 Cost train: 0.6931471805599453 Iteration : 1000 Cost train: 0.5754121195612154 Iteration : 2000 Cost train: 0.5562130094304001 Iteration : 3000 Cost train: 0.5480208386737477 Iteration : 4000 Cost train: 0.5436845624290622 Iteration : 5000 Cost train: 0.5410109657027355 Iteration : 6000 Cost train: 0.5391621631580232 Iteration : 7000 Cost train: 0.537773445871137 Iteration : 8000 Cost train: 0.5366692204402282 Iteration : 9000 Cost train: 0.5357570839878492 Iteration : 10000 Cost train: 0.5349841644579463 Iteration : 11000 Cost train: 0.5343177132974286 Iteration : 12000 Cost train: 0.5337359271965817 Iteration : 13000 Cost train: 0.5332233613981848 Iteration : 14000 Cost train: 0.5327685134314385 Iteration : 15000 Cost train: 0.5323624807791085 Iteration : 16000 Cost train: 0.5319981733059294 Iteration : 17000 Cost train: 0.5316698248313447 Iteration : 18000 Cost train: 0.5313726733546555 Iteration : 19000 Cost train: 0.5311027409165684 Iteration : 20000 Cost train: 0.5308566752448306 Iteration : 21000 Cost train: 0.5306316316096306 Iteration : 22000 Cost train: 0.5304251820772125 Iteration : 23000 Cost train: 0.5302352442188494 Iteration : 24000 Cost train: 0.5300600241309265 Iteration : 25000 Cost train: 0.529897970290687 Iteration : 26000 Cost train: 0.5297477358067607 Iteration : 27000 Cost train: 0.5296081472910674 Iteration : 28000 Cost train: 0.5294781790264811 Iteration : 29000 Cost train: 0.5293569314162312 Iteration : 30000 Cost train: 0.5292436129249674 Iteration : 31000 Cost train: 0.5291375248869222 Iteration : 32000 Cost train: 0.5290380486817453 Iteration : 33000 Cost train: 0.5289446348749788 Iteration : 34000 Cost train: 0.5288567939955213 Iteration : 35000 Cost train: 0.5287740886820582 Iteration : 36000 Cost train: 0.5286961269780812 Iteration : 37000 Cost train: 0.5286225565934797 Iteration : 38000 Cost train: 0.5285530599817789 Iteration : 39000 Cost train: 0.5284873501074315 Iteration : 40000 Cost train: 0.528425166798322 Iteration : 41000 Cost train: 0.528366273595704 Iteration : 42000 Cost train: 0.5283104550278763 Iteration : 43000 Cost train: 0.5282575142455728 Iteration : 44000 Cost train: 0.5282072709667328 Iteration : 45000 Cost train: 0.5281595596864062 Iteration : 46000 Cost train: 0.5281142281142952 Iteration : 47000 Cost train: 0.528071135808097 Iteration : 48000 Cost train: 0.5280301529755634 Iteration : 49000 Cost train: 0.527991159422194 Iteration : 50000 Cost train: 0.5279540436248545 Iteration : 51000 Cost train: 0.5279187019144695 Iteration : 52000 Cost train: 0.5278850377533494 Iteration : 53000 Cost train: 0.5278529610947663 Iteration : 54000 Cost train: 0.5278223878141375 Iteration : 55000 Cost train: 0.5277932392026563 Iteration : 56000 Cost train: 0.5277654415154801 Iteration : 57000 Cost train: 0.5277389255676607 Iteration : 58000 Cost train: 0.5277136263719348 Iteration : 59000 Cost train: 0.5276894828132778 Iteration : 60000 Cost train: 0.5276664373558059 Iteration : 61000 Cost train: 0.5276444357781969 Iteration : 62000 Cost train: 0.5276234269342986 Iteration : 63000 Cost train: 0.5276033625360276 Iteration : 64000 Cost train: 0.5275841969560331 Iteration : 65000 Cost train: 0.5275658870479236 Iteration : 66000 Cost train: 0.5275483919821272 Iteration : 67000 Cost train: 0.5275316730957026 Iteration : 68000 Cost train: 0.5275156937546204 Iteration : 69000 Cost train: 0.5275004192272197 Iteration : 70000 Cost train: 0.5274858165676961 Iteration : 71000 Cost train: 0.5274718545086182 Iteration : 72000 Cost train: 0.5274585033615852 Iteration : 73000 Cost train: 0.5274457349252407 Iteration : 74000 Cost train: 0.5274335223999514 Iteration : 75000 Cost train: 0.5274218403085339 Iteration : 76000 Cost train: 0.5274106644224815 Iteration : 77000 Cost train: 0.5273999716932076 Iteration : 78000 Cost train: 0.5273897401878687 Iteration : 79000 Cost train: 0.5273799490293808 Iteration : 80000 Cost train: 0.5273705783402811 Iteration : 81000 Cost train: 0.5273616091901238 Iteration : 82000 Cost train: 0.5273530235461291 Iteration : 83000 Cost train: 0.5273448042268349 Iteration : 84000 Cost train: 0.5273369348585206 Iteration : 85000 Cost train: 0.5273293998342005 Iteration : 86000 Cost train: 0.5273221842749957 Iteration : 87000 Cost train: 0.5273152739937199 Iteration : 88000 Cost train: 0.5273086554605204 Iteration : 89000 Cost train: 0.5273023157704361 Iteration : 90000 Cost train: 0.5272962426127421 Iteration : 91000 Cost train: 0.5272904242419661 Iteration : 92000 Cost train: 0.5272848494504642 Iteration : 93000 Cost train: 0.5272795075424616 Iteration : 94000 Cost train: 0.5272743883094624 Iteration : 95000 Cost train: 0.5272694820069475 Iteration : 96000 Cost train: 0.5272647793322817 Iteration : 97000 Cost train: 0.5272602714037563 Iteration : 98000 Cost train: 0.5272559497407037 Iteration : 99000 Cost train: 0.5272518062446182 Iteration : 100000 Cost train: 0.5272478331812288 Iteration : 101000 Cost train: 0.5272440231634679 Iteration : 102000 Cost train: 0.5272403691352857 Iteration : 103000 Cost train: 0.5272368643562675 Iteration : 104000 Cost train: 0.5272335023870034 Iteration : 105000 Cost train: 0.5272302770751761 Iteration : 106000 Cost train: 0.5272271825423247 Iteration : 107000 Cost train: 0.5272242131712493 Iteration : 108000 Cost train: 0.5272213635940237 Iteration : 109000 Cost train: 0.5272186286805831 Iteration : 110000 Cost train: 0.5272160035278581 Iteration : 111000 Cost train: 0.5272134834494263 Iteration : 112000 Cost train: 0.5272110639656554 Iteration : 113000 Cost train: 0.5272087407943126 Iteration : 114000 Cost train: 0.5272065098416168 Iteration : 115000 Cost train: 0.5272043671937126 Iteration : 116000 Cost train: 0.527202309108542 Iteration : 117000 Cost train: 0.527200332008099 Iteration : 118000 Cost train: 0.5271984324710421 Iteration : 119000 Cost train: 0.5271966072256534 Iteration : 120000 Cost train: 0.5271948531431221 Iteration : 121000 Cost train: 0.5271931672311405 Iteration : 122000 Cost train: 0.5271915466277947 Iteration : 123000 Cost train: 0.5271899885957372 Iteration : 124000 Cost train: 0.5271884905166278 Iteration : 125000 Cost train: 0.5271870498858287 Iteration : 126000 Cost train: 0.5271856643073437 Iteration : 127000 Cost train: 0.527184331488988 Iteration : 128000 Cost train: 0.5271830492377787 Iteration : 129000 Cost train: 0.5271818154555349 Iteration : 130000 Cost train: 0.5271806281346787 Iteration : 131000 Cost train: 0.5271794853542261 Iteration : 132000 Cost train: 0.5271783852759598 Iteration : 133000 Cost train: 0.5271773261407754 Iteration : 134000 Cost train: 0.5271763062651924 Iteration : 135000 Cost train: 0.5271753240380231 Iteration : 136000 Cost train: 0.5271743779171915 Iteration : 137000 Cost train: 0.5271734664266942 Iteration : 138000 Cost train: 0.5271725881537002 Iteration : 139000 Cost train: 0.5271717417457781 Iteration : 140000 Cost train: 0.5271709259082503 Iteration : 141000 Cost train: 0.5271701394016636 Iteration : 142000 Cost train: 0.5271693810393733 Iteration : 143000 Cost train: 0.5271686496852359 Iteration : 144000 Cost train: 0.5271679442514048 Iteration : 145000 Cost train: 0.5271672636962222 Iteration : 146000 Cost train: 0.5271666070222081 Iteration : 147000 Cost train: 0.5271659732741355 Iteration : 148000 Cost train: 0.5271653615371932 Iteration : 149000 Cost train: 0.5271647709352291 Iteration : 150000 Cost train: 0.5271642006290719 Iteration : 151000 Cost train: 0.5271636498149266 Iteration : 152000 Cost train: 0.5271631177228411 Iteration : 153000 Cost train: 0.5271626036152409 Iteration : 154000 Cost train: 0.527162106785528 Iteration : 155000 Cost train: 0.5271616265567419 Iteration : 156000 Cost train: 0.5271611622802794 Iteration : 157000 Cost train: 0.5271607133346712 Iteration : 158000 Cost train: 0.527160279124411 Iteration : 159000 Cost train: 0.5271598590788383 Iteration : 160000 Cost train: 0.5271594526510679 Iteration : 161000 Cost train: 0.527159059316968 Iteration : 162000 Cost train: 0.5271586785741817 Iteration : 163000 Cost train: 0.5271583099411936 Iteration : 164000 Cost train: 0.5271579529564338 Iteration : 165000 Cost train: 0.5271576071774251 Iteration : 166000 Cost train: 0.5271572721799634 Iteration : 167000 Cost train: 0.5271569475573378 Iteration : 168000 Cost train: 0.5271566329195811 Iteration : 169000 Cost train: 0.5271563278927559 Iteration : 170000 Cost train: 0.5271560321182697 Iteration : 171000 Cost train: 0.5271557452522213 Iteration : 172000 Cost train: 0.5271554669647744 Iteration : 173000 Cost train: 0.5271551969395595 Iteration : 174000 Cost train: 0.5271549348731007 Iteration : 175000 Cost train: 0.5271546804742687 Iteration : 176000 Cost train: 0.5271544334637559 Iteration : 177000 Cost train: 0.5271541935735754 Iteration : 178000 Cost train: 0.5271539605465819 Iteration : 179000 Cost train: 0.5271537341360122 Iteration : 180000 Cost train: 0.5271535141050459 Iteration : 181000 Cost train: 0.5271533002263864 Iteration : 182000 Cost train: 0.527153092281858 Iteration : 183000 Cost train: 0.5271528900620219 Iteration : 184000 Cost train: 0.5271526933658077 Iteration : 185000 Cost train: 0.5271525020001616 Iteration : 186000 Cost train: 0.5271523157797097 Iteration : 187000 Cost train: 0.5271521345264344 Iteration : 188000 Cost train: 0.5271519580693672 Iteration : 189000 Cost train: 0.5271517862442924 Iteration : 190000 Cost train: 0.5271516188934648 Iteration : 191000 Cost train: 0.527151455865339 Iteration : 192000 Cost train: 0.5271512970143106 Iteration : 193000 Cost train: 0.5271511422004682 Iteration : 194000 Cost train: 0.5271509912893562 Iteration : 195000 Cost train: 0.5271508441517481 Iteration : 196000 Cost train: 0.5271507006634284 Iteration : 197000 Cost train: 0.5271505607049852 Iteration : 198000 Cost train: 0.5271504241616108 Iteration : 199000 Cost train: 0.5271502909229109 Iteration : 200000 Cost train: 0.5271501608827219 Iteration : 201000 Cost train: 0.5271500339389369 Iteration : 202000 Cost train: 0.5271499099933373 Iteration : 203000 Cost train: 0.5271497889514335 Iteration : 204000 Cost train: 0.5271496707223107 Iteration : 205000 Cost train: 0.527149555218483 Iteration : 206000 Cost train: 0.5271494423557517 Iteration : 207000 Cost train: 0.5271493320530718 Iteration : 208000 Cost train: 0.5271492242324218 Iteration : 209000 Cost train: 0.527149118818681 Iteration : 210000 Cost train: 0.5271490157395113 Iteration : 211000 Cost train: 0.5271489149252436 Iteration : 212000 Cost train: 0.5271488163087693 Iteration : 213000 Cost train: 0.5271487198254368 Iteration : 214000 Cost train: 0.5271486254129513 Iteration : 215000 Cost train: 0.5271485330112806 Iteration : 216000 Cost train: 0.5271484425625629 Iteration : 217000 Cost train: 0.5271483540110194 Iteration : 218000 Cost train: 0.5271482673028713 Iteration : 219000 Cost train: 0.5271481823862586 Iteration : 220000 Cost train: 0.5271480992111639 Iteration : 221000 Cost train: 0.5271480177293384 Iteration : 222000 Cost train: 0.5271479378942318 Iteration : 223000 Cost train: 0.5271478596609239 Iteration : 224000 Cost train: 0.5271477829860609 Iteration : 225000 Cost train: 0.5271477078277922 Iteration : 226000 Cost train: 0.5271476341457121 Iteration : 227000 Cost train: 0.5271475619008016 Iteration : 228000 Cost train: 0.527147491055375 Iteration : 229000 Cost train: 0.5271474215730264 Iteration : 230000 Cost train: 0.5271473534185808 Iteration : 231000 Cost train: 0.5271472865580449 Iteration : 232000 Cost train: 0.5271472209585615 Iteration : 233000 Cost train: 0.5271471565883655 Iteration : 234000 Cost train: 0.5271470934167416 Iteration : 235000 Cost train: 0.527147031413983 Iteration : 236000 Cost train: 0.5271469705513533 Iteration : 237000 Cost train: 0.527146910801049 Iteration : 238000 Cost train: 0.5271468521361637 Iteration : 239000 Cost train: 0.5271467945306537 Iteration : 240000 Cost train: 0.5271467379593052 Iteration : 241000 Cost train: 0.5271466823977028 Iteration : 242000 Cost train: 0.5271466278221993 Iteration : 243000 Cost train: 0.5271465742098868 Iteration : 244000 Cost train: 0.5271465215385686 Iteration : 245000 Cost train: 0.5271464697867329 Iteration : 246000 Cost train: 0.5271464189335268 Iteration : 247000 Cost train: 0.5271463689587322 Iteration : 248000 Cost train: 0.5271463198427423 Iteration : 249000 Cost train: 0.5271462715665381 Iteration : 250000 Cost train: 0.5271462241116682 Iteration : 251000 Cost train: 0.5271461774602269 Iteration : 252000 Cost train: 0.5271461315948344 Iteration : 253000 Cost train: 0.5271460864986183 Iteration : 254000 Cost train: 0.5271460421551943 Iteration : 255000 Cost train: 0.5271459985486497 Iteration : 256000 Cost train: 0.5271459556635251 Iteration : 257000 Cost train: 0.5271459134847993 Iteration : 258000 Cost train: 0.5271458719978738 Iteration : 259000 Cost train: 0.5271458311885563 Iteration : 260000 Cost train: 0.5271457910430478 Iteration : 261000 Cost train: 0.5271457515479289 Iteration : 262000 Cost train: 0.5271457126901452 Iteration : 263000 Cost train: 0.5271456744569959 Iteration : 264000 Cost train: 0.5271456368361208 Iteration : 265000 Cost train: 0.5271455998154889 Iteration : 266000 Cost train: 0.527145563383387 Iteration : 267000 Cost train: 0.5271455275284092 Iteration : 268000 Cost train: 0.5271454922394454 Iteration : 269000 Cost train: 0.5271454575056729 Iteration : 270000 Cost train: 0.5271454233165455 Iteration : 271000 Cost train: 0.5271453896617849 Iteration : 272000 Cost train: 0.5271453565313715 Iteration : 273000 Cost train: 0.5271453239155361 Iteration : 274000 Cost train: 0.5271452918047514 Iteration : 275000 Cost train: 0.5271452601897247 Iteration : 276000 Cost train: 0.5271452290613895 Iteration : 277000 Cost train: 0.5271451984108984 Iteration : 278000 Cost train: 0.5271451682296169 Iteration : 279000 Cost train: 0.5271451385091154 Iteration : 280000 Cost train: 0.5271451092411635 Iteration : 281000 Cost train: 0.5271450804177241 Iteration : 282000 Cost train: 0.527145052030946 Iteration : 283000 Cost train: 0.5271450240731592 Iteration : 284000 Cost train: 0.5271449965368694 Iteration : 285000 Cost train: 0.527144969414752 Iteration : 286000 Cost train: 0.5271449426996471 Iteration : 287000 Cost train: 0.5271449163845551 Iteration : 288000 Cost train: 0.5271448904626311 Iteration : 289000 Cost train: 0.5271448649271806 Iteration : 290000 Cost train: 0.5271448397716554 Iteration : 291000 Cost train: 0.5271448149896487 Iteration : 292000 Cost train: 0.5271447905748915 Iteration : 293000 Cost train: 0.5271447665212483 Iteration : 294000 Cost train: 0.5271447428227131 Iteration : 295000 Cost train: 0.5271447194734066 Iteration : 296000 Cost train: 0.5271446964675712 Iteration : 297000 Cost train: 0.5271446737995689 Iteration : 298000 Cost train: 0.5271446514638773 Iteration : 299000 Cost train: 0.5271446294550864
graph_df=pd.DataFrame(graph,columns=['Iteration','Alpha','Cost_test','Cost_train','Accuracy'])
graph_df
| Iteration | Alpha | Cost_test | Cost_train | Accuracy | |
|---|---|---|---|---|---|
| 0 | 0.0 | 0.01 | 0.693147 | 0.693147 | 0.463266 |
| 1 | 1000.0 | 0.01 | 0.576896 | 0.575412 | 0.720655 |
| 2 | 2000.0 | 0.01 | 0.560245 | 0.556213 | 0.726566 |
| 3 | 3000.0 | 0.01 | 0.553517 | 0.548021 | 0.728593 |
| 4 | 4000.0 | 0.01 | 0.550086 | 0.543685 | 0.732984 |
| 5 | 5000.0 | 0.01 | 0.547987 | 0.541011 | 0.734167 |
| 6 | 6000.0 | 0.01 | 0.546506 | 0.539162 | 0.736362 |
| 7 | 7000.0 | 0.01 | 0.545350 | 0.537773 | 0.737207 |
| 8 | 8000.0 | 0.01 | 0.544389 | 0.536669 | 0.737882 |
| 9 | 9000.0 | 0.01 | 0.543562 | 0.535757 | 0.738558 |
| 10 | 10000.0 | 0.01 | 0.542833 | 0.534984 | 0.739740 |
| 11 | 11000.0 | 0.01 | 0.542184 | 0.534318 | 0.739909 |
| 12 | 12000.0 | 0.01 | 0.541602 | 0.533736 | 0.740247 |
| 13 | 13000.0 | 0.01 | 0.541077 | 0.533223 | 0.740922 |
| 14 | 14000.0 | 0.01 | 0.540602 | 0.532769 | 0.741767 |
| 15 | 15000.0 | 0.01 | 0.540172 | 0.532362 | 0.743287 |
| 16 | 16000.0 | 0.01 | 0.539780 | 0.531998 | 0.743118 |
| 17 | 17000.0 | 0.01 | 0.539424 | 0.531670 | 0.742611 |
| 18 | 18000.0 | 0.01 | 0.539098 | 0.531373 | 0.743455 |
| 19 | 19000.0 | 0.01 | 0.538800 | 0.531103 | 0.743962 |
| 20 | 20000.0 | 0.01 | 0.538527 | 0.530857 | 0.743793 |
| 21 | 21000.0 | 0.01 | 0.538275 | 0.530632 | 0.743118 |
| 22 | 22000.0 | 0.01 | 0.538044 | 0.530425 | 0.743287 |
| 23 | 23000.0 | 0.01 | 0.537830 | 0.530235 | 0.743118 |
| 24 | 24000.0 | 0.01 | 0.537633 | 0.530060 | 0.743118 |
| 25 | 25000.0 | 0.01 | 0.537450 | 0.529898 | 0.742442 |
| 26 | 26000.0 | 0.01 | 0.537280 | 0.529748 | 0.743118 |
| 27 | 27000.0 | 0.01 | 0.537122 | 0.529608 | 0.743287 |
| 28 | 28000.0 | 0.01 | 0.536975 | 0.529478 | 0.743455 |
| 29 | 29000.0 | 0.01 | 0.536838 | 0.529357 | 0.743624 |
| ... | ... | ... | ... | ... | ... |
| 270 | 270000.0 | 0.01 | 0.534359 | 0.527145 | 0.744976 |
| 271 | 271000.0 | 0.01 | 0.534359 | 0.527145 | 0.744976 |
| 272 | 272000.0 | 0.01 | 0.534359 | 0.527145 | 0.744976 |
| 273 | 273000.0 | 0.01 | 0.534358 | 0.527145 | 0.744976 |
| 274 | 274000.0 | 0.01 | 0.534358 | 0.527145 | 0.744976 |
| 275 | 275000.0 | 0.01 | 0.534358 | 0.527145 | 0.744976 |
| 276 | 276000.0 | 0.01 | 0.534357 | 0.527145 | 0.744976 |
| 277 | 277000.0 | 0.01 | 0.534357 | 0.527145 | 0.744976 |
| 278 | 278000.0 | 0.01 | 0.534356 | 0.527145 | 0.744976 |
| 279 | 279000.0 | 0.01 | 0.534356 | 0.527145 | 0.744976 |
| 280 | 280000.0 | 0.01 | 0.534356 | 0.527145 | 0.744976 |
| 281 | 281000.0 | 0.01 | 0.534355 | 0.527145 | 0.744976 |
| 282 | 282000.0 | 0.01 | 0.534355 | 0.527145 | 0.744976 |
| 283 | 283000.0 | 0.01 | 0.534355 | 0.527145 | 0.744976 |
| 284 | 284000.0 | 0.01 | 0.534354 | 0.527145 | 0.744976 |
| 285 | 285000.0 | 0.01 | 0.534354 | 0.527145 | 0.744976 |
| 286 | 286000.0 | 0.01 | 0.534354 | 0.527145 | 0.744807 |
| 287 | 287000.0 | 0.01 | 0.534353 | 0.527145 | 0.744638 |
| 288 | 288000.0 | 0.01 | 0.534353 | 0.527145 | 0.744638 |
| 289 | 289000.0 | 0.01 | 0.534353 | 0.527145 | 0.744638 |
| 290 | 290000.0 | 0.01 | 0.534352 | 0.527145 | 0.744638 |
| 291 | 291000.0 | 0.01 | 0.534352 | 0.527145 | 0.744638 |
| 292 | 292000.0 | 0.01 | 0.534352 | 0.527145 | 0.744638 |
| 293 | 293000.0 | 0.01 | 0.534351 | 0.527145 | 0.744638 |
| 294 | 294000.0 | 0.01 | 0.534351 | 0.527145 | 0.744638 |
| 295 | 295000.0 | 0.01 | 0.534351 | 0.527145 | 0.744638 |
| 296 | 296000.0 | 0.01 | 0.534350 | 0.527145 | 0.744638 |
| 297 | 297000.0 | 0.01 | 0.534350 | 0.527145 | 0.744638 |
| 298 | 298000.0 | 0.01 | 0.534350 | 0.527145 | 0.744638 |
| 299 | 299000.0 | 0.01 | 0.534349 | 0.527145 | 0.744638 |
300 rows × 5 columns
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_df['Iteration'],
y=graph_df['Cost_train'],
name='Train',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_df['Iteration'],
y=graph_df['Cost_test'],
name='Test',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_df['Iteration'],
y=graph_df['Accuracy'],
name='Accuracy',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_df['Iteration'],
y=graph_df['Cost_test'],
name='Cost',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost/Accuracy Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost/Accuracy'))
fig.show()
params
array([-0.21147109, 0.50361482, 2.31023023, -0.91327811, -1.59587164,
0.45991356, -0.12302401, 0.0096081 , 0.56853706, -0.18931435,
0.27639366, 0.3267584 , -1.20526643, 0.17878782, 1.1935394 ,
-1.38680504, -0.65079985, 0.39686564, 0.03414468, -0.04585747,
0.20285067, -0.04318555])
pd.Series(params,index=x.columns.insert(0,'X0'))
X0 -0.211471 T1 0.503615 RH_1 2.310230 T2 -0.913278 RH_2 -1.595872 T3 0.459914 RH_3 -0.123024 T4 0.009608 RH_4 0.568537 T5 -0.189314 RH_5 0.276394 RH_6 0.326758 T7 -1.205266 RH_7 0.178788 T8 1.193539 RH_8 -1.386805 RH_9 -0.650800 T_out 0.396866 Press_mm_hg 0.034145 RH_out -0.045857 Windspeed 0.202851 Tdewpoint -0.043186 dtype: float64
x=[0.01,0.05,0.08,0.1,0.5,0.8]
logistic_param=np.empty([0,5])
for i in x:
initial_params_1,params_1,graph_1=batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,i,300000)
logistic_param=np.vstack([logistic_param,graph_1])
Iteration : 0 Cost train: 0.6931471805599453 Iteration : 1000 Cost train: 0.5754121195612154 Iteration : 2000 Cost train: 0.5562130094304001 Iteration : 3000 Cost train: 0.5480208386737477 Iteration : 4000 Cost train: 0.5436845624290622 Iteration : 5000 Cost train: 0.5410109657027355 Iteration : 6000 Cost train: 0.5391621631580232 Iteration : 7000 Cost train: 0.537773445871137 Iteration : 8000 Cost train: 0.5366692204402282 Iteration : 9000 Cost train: 0.5357570839878492 Iteration : 10000 Cost train: 0.5349841644579463 Iteration : 11000 Cost train: 0.5343177132974286 Iteration : 12000 Cost train: 0.5337359271965817 Iteration : 13000 Cost train: 0.5332233613981848 Iteration : 14000 Cost train: 0.5327685134314385 Iteration : 15000 Cost train: 0.5323624807791085 Iteration : 16000 Cost train: 0.5319981733059294 Iteration : 17000 Cost train: 0.5316698248313447 Iteration : 18000 Cost train: 0.5313726733546555 Iteration : 19000 Cost train: 0.5311027409165684 Iteration : 20000 Cost train: 0.5308566752448306 Iteration : 21000 Cost train: 0.5306316316096306 Iteration : 22000 Cost train: 0.5304251820772125 Iteration : 23000 Cost train: 0.5302352442188494 Iteration : 24000 Cost train: 0.5300600241309265 Iteration : 25000 Cost train: 0.529897970290687 Iteration : 26000 Cost train: 0.5297477358067607 Iteration : 27000 Cost train: 0.5296081472910674 Iteration : 28000 Cost train: 0.5294781790264811 Iteration : 29000 Cost train: 0.5293569314162312 Iteration : 30000 Cost train: 0.5292436129249674 Iteration : 31000 Cost train: 0.5291375248869222 Iteration : 32000 Cost train: 0.5290380486817453 Iteration : 33000 Cost train: 0.5289446348749788 Iteration : 34000 Cost train: 0.5288567939955213 Iteration : 35000 Cost train: 0.5287740886820582 Iteration : 36000 Cost train: 0.5286961269780812 Iteration : 37000 Cost train: 0.5286225565934797 Iteration : 38000 Cost train: 0.5285530599817789 Iteration : 39000 Cost train: 0.5284873501074315 Iteration : 40000 Cost train: 0.528425166798322 Iteration : 41000 Cost train: 0.528366273595704 Iteration : 42000 Cost train: 0.5283104550278763 Iteration : 43000 Cost train: 0.5282575142455728 Iteration : 44000 Cost train: 0.5282072709667328 Iteration : 45000 Cost train: 0.5281595596864062 Iteration : 46000 Cost train: 0.5281142281142952 Iteration : 47000 Cost train: 0.528071135808097 Iteration : 48000 Cost train: 0.5280301529755634 Iteration : 49000 Cost train: 0.527991159422194 Iteration : 50000 Cost train: 0.5279540436248545 Iteration : 51000 Cost train: 0.5279187019144695 Iteration : 52000 Cost train: 0.5278850377533494 Iteration : 53000 Cost train: 0.5278529610947663 Iteration : 54000 Cost train: 0.5278223878141375 Iteration : 55000 Cost train: 0.5277932392026563 Iteration : 56000 Cost train: 0.5277654415154801 Iteration : 57000 Cost train: 0.5277389255676607 Iteration : 58000 Cost train: 0.5277136263719348 Iteration : 59000 Cost train: 0.5276894828132778 Iteration : 60000 Cost train: 0.5276664373558059 Iteration : 61000 Cost 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logistic_param_1=pd.DataFrame(logistic_param,columns=['Iteration','Alpha','Cost_test','Cost_train','Accuracy'])
logistic_param_1
| Iteration | Alpha | Cost_test | Cost_train | Accuracy | |
|---|---|---|---|---|---|
| 0 | 0.0 | 0.01 | 0.693147 | 0.693147 | 0.463266 |
| 1 | 1000.0 | 0.01 | 0.576896 | 0.575412 | 0.720655 |
| 2 | 2000.0 | 0.01 | 0.560245 | 0.556213 | 0.726566 |
| 3 | 3000.0 | 0.01 | 0.553517 | 0.548021 | 0.728593 |
| 4 | 4000.0 | 0.01 | 0.550086 | 0.543685 | 0.732984 |
| 5 | 5000.0 | 0.01 | 0.547987 | 0.541011 | 0.734167 |
| 6 | 6000.0 | 0.01 | 0.546506 | 0.539162 | 0.736362 |
| 7 | 7000.0 | 0.01 | 0.545350 | 0.537773 | 0.737207 |
| 8 | 8000.0 | 0.01 | 0.544389 | 0.536669 | 0.737882 |
| 9 | 9000.0 | 0.01 | 0.543562 | 0.535757 | 0.738558 |
| 10 | 10000.0 | 0.01 | 0.542833 | 0.534984 | 0.739740 |
| 11 | 11000.0 | 0.01 | 0.542184 | 0.534318 | 0.739909 |
| 12 | 12000.0 | 0.01 | 0.541602 | 0.533736 | 0.740247 |
| 13 | 13000.0 | 0.01 | 0.541077 | 0.533223 | 0.740922 |
| 14 | 14000.0 | 0.01 | 0.540602 | 0.532769 | 0.741767 |
| 15 | 15000.0 | 0.01 | 0.540172 | 0.532362 | 0.743287 |
| 16 | 16000.0 | 0.01 | 0.539780 | 0.531998 | 0.743118 |
| 17 | 17000.0 | 0.01 | 0.539424 | 0.531670 | 0.742611 |
| 18 | 18000.0 | 0.01 | 0.539098 | 0.531373 | 0.743455 |
| 19 | 19000.0 | 0.01 | 0.538800 | 0.531103 | 0.743962 |
| 20 | 20000.0 | 0.01 | 0.538527 | 0.530857 | 0.743793 |
| 21 | 21000.0 | 0.01 | 0.538275 | 0.530632 | 0.743118 |
| 22 | 22000.0 | 0.01 | 0.538044 | 0.530425 | 0.743287 |
| 23 | 23000.0 | 0.01 | 0.537830 | 0.530235 | 0.743118 |
| 24 | 24000.0 | 0.01 | 0.537633 | 0.530060 | 0.743118 |
| 25 | 25000.0 | 0.01 | 0.537450 | 0.529898 | 0.742442 |
| 26 | 26000.0 | 0.01 | 0.537280 | 0.529748 | 0.743118 |
| 27 | 27000.0 | 0.01 | 0.537122 | 0.529608 | 0.743287 |
| 28 | 28000.0 | 0.01 | 0.536975 | 0.529478 | 0.743455 |
| 29 | 29000.0 | 0.01 | 0.536838 | 0.529357 | 0.743624 |
| ... | ... | ... | ... | ... | ... |
| 1770 | 270000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1771 | 271000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1772 | 272000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1773 | 273000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1774 | 274000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1775 | 275000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1776 | 276000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1777 | 277000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1778 | 278000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1779 | 279000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1780 | 280000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1781 | 281000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1782 | 282000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1783 | 283000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1784 | 284000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1785 | 285000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1786 | 286000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1787 | 287000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1788 | 288000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1789 | 289000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1790 | 290000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1791 | 291000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1792 | 292000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1793 | 293000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1794 | 294000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1795 | 295000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1796 | 296000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1797 | 297000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1798 | 298000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
| 1799 | 299000.0 | 0.80 | 0.534304 | 0.527143 | 0.744131 |
1800 rows × 5 columns
pd.concat([logistic_param_1.groupby('Alpha')['Cost_test'].min(),
logistic_param_1.groupby('Alpha')['Accuracy'].max(),],axis=1)
| Cost_test | Accuracy | |
|---|---|---|
| Alpha | ||
| 0.01 | 0.534349 | 0.745144 |
| 0.05 | 0.534304 | 0.745144 |
| 0.08 | 0.534304 | 0.745144 |
| 0.10 | 0.534304 | 0.745144 |
| 0.50 | 0.534304 | 0.745144 |
| 0.80 | 0.534304 | 0.745144 |
pd.concat([logistic_param_1.groupby('Alpha')['Accuracy'].max(),
logistic_param_1.groupby('Alpha')['Iteration'].max(),],axis=1)
| Accuracy | Iteration | |
|---|---|---|
| Alpha | ||
| 0.01 | 0.745144 | 299000.0 |
| 0.05 | 0.745144 | 299000.0 |
| 0.08 | 0.745144 | 299000.0 |
| 0.10 | 0.745144 | 299000.0 |
| 0.50 | 0.745144 | 299000.0 |
| 0.80 | 0.745144 | 299000.0 |
import plotly.express as px
px.line(logistic_param_1, x="Iteration", y="Accuracy", color="Alpha")
initial_params_1,params_1,graph_1=batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,0.01,300000)
graph1=pd.DataFrame(graph[1:,:],columns=['Iteration','Alpha','Cost_test','Cost_train','Accuracy'])
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph1['Iteration'],
y=graph1['Accuracy'],
mode='lines'))
fig.update_layout(title='Accuracy Vs Iteration',
xaxis=dict(title='Iteration'),yaxis=dict(title='Accuracy'))
fig.show()
x=data.iloc[:,1:]
y=data.iloc[:,0]
x_sampled=x.sample(10,axis=1,random_state=48)
x_sampled.columns
Index(['RH_1', 'RH_5', 'RH_3', 'RH_4', 'T5', 'RH_7', 'RH_out', 'RH_2', 'T7',
'RH_6'],
dtype='object')
scaler = StandardScaler()
x_scaled = scaler.fit_transform(x_sampled)
x_scaled
array([[ 1.84382063, 0.47116038, 1.68612997, ..., 1.07368343,
-1.45364639, 0.95179837],
[ 1.61680671, 0.47116038, 1.70456601, ..., 1.05709748,
-1.45364639, 0.94559165],
[ 1.51795932, 0.45896769, 1.74860768, ..., 1.03354953,
-1.45364639, 0.91648425],
...,
[ 1.59251371, 0.14602221, 0.752037 , ..., 0.57698247,
2.02512574, -1.72105219],
[ 1.6913611 , 0.13863271, 0.62913003, ..., 0.64269443,
2.00616785, -1.72105219],
[ 1.5933514 , 0.13863271, 0.58816104, ..., 0.62682808,
2.00616785, -1.72105219]])
x_scaled=np.concatenate((np.ones((x_scaled.shape[0], 1)), x_scaled), axis=1)
y=y.apply(lambda x: 1 if x>60 else 0)
y=np.array(y)
x_train, x_test, y_train, y_test = train_test_split(x_scaled, y, test_size=0.3,random_state=85)
initial_params,params,graph=batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,0.5,300000)
Iteration : 0 Cost train: 0.6931471805599453 Iteration : 1000 Cost train: 0.5919584896464972 Iteration : 2000 Cost train: 0.5919583240533157 Iteration : 3000 Cost train: 0.5919583240497329 Iteration : 4000 Cost train: 0.5919583240497328 Iteration : 5000 Cost train: 0.5919583240497328 Iteration : 6000 Cost train: 0.5919583240497328 Iteration : 7000 Cost train: 0.5919583240497328 Iteration : 8000 Cost train: 0.5919583240497328 Iteration : 9000 Cost train: 0.5919583240497328 Iteration : 10000 Cost train: 0.5919583240497328 Iteration : 11000 Cost train: 0.5919583240497328 Iteration : 12000 Cost train: 0.5919583240497328 Iteration : 13000 Cost train: 0.5919583240497328 Iteration : 14000 Cost train: 0.5919583240497328 Iteration : 15000 Cost train: 0.5919583240497328 Iteration : 16000 Cost train: 0.5919583240497328 Iteration : 17000 Cost train: 0.5919583240497328 Iteration : 18000 Cost train: 0.5919583240497328 Iteration : 19000 Cost train: 0.5919583240497328 Iteration : 20000 Cost train: 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Iteration : 41000 Cost train: 0.5919583240497328 Iteration : 42000 Cost train: 0.5919583240497328 Iteration : 43000 Cost train: 0.5919583240497328 Iteration : 44000 Cost train: 0.5919583240497328 Iteration : 45000 Cost train: 0.5919583240497328 Iteration : 46000 Cost train: 0.5919583240497328 Iteration : 47000 Cost train: 0.5919583240497328 Iteration : 48000 Cost train: 0.5919583240497328 Iteration : 49000 Cost train: 0.5919583240497328 Iteration : 50000 Cost train: 0.5919583240497328 Iteration : 51000 Cost train: 0.5919583240497328 Iteration : 52000 Cost train: 0.5919583240497328 Iteration : 53000 Cost train: 0.5919583240497328 Iteration : 54000 Cost train: 0.5919583240497328 Iteration : 55000 Cost train: 0.5919583240497328 Iteration : 56000 Cost train: 0.5919583240497328 Iteration : 57000 Cost train: 0.5919583240497328 Iteration : 58000 Cost train: 0.5919583240497328 Iteration : 59000 Cost train: 0.5919583240497328 Iteration : 60000 Cost train: 0.5919583240497328 Iteration : 61000 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graph_df_1=pd.DataFrame(graph,columns=['Iteration','Alpha','Cost_test','Cost_train','Accuracy'])
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_df_1['Iteration'],
y=graph_df_1['Cost_train'],
name='Train',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_df_1['Iteration'],
y=graph_df_1['Cost_test'],
name='Test',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()
x=data.iloc[:,1:]
y=data.iloc[:,0]
x_pick=x[['Windspeed','RH_out','RH_6','RH_8','RH_1','T1','T3','RH_3','T5','T_out']]
x_pick.columns
Index(['Windspeed', 'RH_out', 'RH_6', 'RH_8', 'RH_1', 'T1', 'T3', 'RH_3', 'T5',
'T_out'],
dtype='object')
scaler = StandardScaler()
x_scaled = scaler.fit_transform(x_pick)
x_scaled
array([[ 1.20769354, 0.82208042, 0.95179837, ..., 1.68612997,
-1.31490324, -0.15264674],
[ 1.07170342, 0.82208042, 0.94559165, ..., 1.70456601,
-1.31490324, -0.17458781],
[ 0.93571331, 0.82208042, 0.91648425, ..., 1.74860768,
-1.31490324, -0.19652887],
...,
[-0.15220764, -1.57154154, -1.72105219, ..., 0.752037 ,
1.97221075, 2.83133837],
[-0.08421258, -1.54917124, -1.72105219, ..., 0.62913003,
1.95594685, 2.80626286],
[-0.01621752, -1.52680094, -1.72105219, ..., 0.58816104,
1.95594685, 2.78118736]])
x_scaled=np.concatenate((np.ones((x_scaled.shape[0], 1)), x_scaled), axis=1)
y=y.apply(lambda x: 1 if x>60 else 0)
y=np.array(y)
x_train, x_test, y_train, y_test = train_test_split(x_scaled, y, test_size=0.3,random_state=85)
initial_params,params,graph=batch_gradient_descent_logistic(x_train,y_train,x_test,y_test,0.5,300000)
Iteration : 0 Cost train: 0.6931471805599453 Iteration : 1000 Cost train: 0.5896234070125407 Iteration : 2000 Cost train: 0.5896233569266309 Iteration : 3000 Cost train: 0.5896233569259435 Iteration : 4000 Cost train: 0.5896233569259435 Iteration : 5000 Cost train: 0.5896233569259435 Iteration : 6000 Cost train: 0.5896233569259435 Iteration : 7000 Cost train: 0.5896233569259435 Iteration : 8000 Cost train: 0.5896233569259435 Iteration : 9000 Cost train: 0.5896233569259435 Iteration : 10000 Cost train: 0.5896233569259435 Iteration : 11000 Cost train: 0.5896233569259435 Iteration : 12000 Cost train: 0.5896233569259435 Iteration : 13000 Cost train: 0.5896233569259435 Iteration : 14000 Cost train: 0.5896233569259435 Iteration : 15000 Cost train: 0.5896233569259435 Iteration : 16000 Cost train: 0.5896233569259435 Iteration : 17000 Cost train: 0.5896233569259435 Iteration : 18000 Cost train: 0.5896233569259435 Iteration : 19000 Cost train: 0.5896233569259435 Iteration : 20000 Cost train: 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graph_df_2=pd.DataFrame(graph,columns=['Iteration','Alpha','Cost_test','Cost_train','Accuracy'])
graph_df_2
| Iteration | Alpha | Cost_test | Cost_train | Accuracy | |
|---|---|---|---|---|---|
| 0 | 0.0 | 0.5 | 0.693147 | 0.693147 | 0.463266 |
| 1 | 1000.0 | 0.5 | 0.584487 | 0.589623 | 0.691099 |
| 2 | 2000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 3 | 3000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 4 | 4000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 5 | 5000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 6 | 6000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 7 | 7000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 8 | 8000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 9 | 9000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 10 | 10000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 11 | 11000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 12 | 12000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 13 | 13000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 14 | 14000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 15 | 15000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 16 | 16000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 17 | 17000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 18 | 18000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 19 | 19000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 20 | 20000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 21 | 21000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 22 | 22000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 23 | 23000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 24 | 24000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 25 | 25000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 26 | 26000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 27 | 27000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 28 | 28000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 29 | 29000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| ... | ... | ... | ... | ... | ... |
| 270 | 270000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 271 | 271000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 272 | 272000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 273 | 273000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 274 | 274000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 275 | 275000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 276 | 276000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 277 | 277000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 278 | 278000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 279 | 279000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 280 | 280000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 281 | 281000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 282 | 282000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 283 | 283000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 284 | 284000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 285 | 285000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 286 | 286000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 287 | 287000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 288 | 288000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 289 | 289000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 290 | 290000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 291 | 291000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 292 | 292000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 293 | 293000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 294 | 294000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 295 | 295000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 296 | 296000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 297 | 297000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 298 | 298000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
| 299 | 299000.0 | 0.5 | 0.584488 | 0.589623 | 0.691099 |
300 rows × 5 columns
fig=go.Figure()
fig.add_trace(go.Scatter(x=graph_df_2['Iteration'],
y=graph_df_2['Cost_train'],
name='Train',
mode='lines'))
fig.add_trace(go.Scatter(x=graph_df_2['Iteration'],
y=graph_df_2['Cost_test'],
name='Test',
mode='lines'))
fig.update_layout(title=go.layout.Title(
text="Cost Vs Iteration ",xref="paper",x=0,y=0.85),
xaxis=dict(title='Iteration'),yaxis=dict(title='Cost'))
fig.show()